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Articles de revues sur le sujet « Graded type theory »

Auteur : Grafiati

Publié le 2 juin 2025

Mis à jour le 31 juillet 2025

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1

Abel, Andreas, Nils Anders Danielsson, and Oskar Eriksson. "A Graded Modal Dependent Type Theory with a Universe and Erasure, Formalized." Proceedings of the ACM on Programming Languages 7, ICFP (2023): 920–54. http://dx.doi.org/10.1145/3607862.

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We present a graded modal type theory, a dependent type theory with grades that can be used to enforce various properties of the code. The theory has Π-types, weak and strong Σ-types, natural numbers, an empty type, and a universe, and we also extend the theory with a unit type and graded Σ-types. The theory is parameterized by a modality, a kind of partially ordered semiring, whose elements (grades) are used to track the usage of variables in terms and types. Different modalities are possible. We focus mainly on quantitative properties, in particular erasure: with the erasure modality one can

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2

Calderón Martín, Antonio J. "Graded extended Lie-type algebras." Communications in Algebra 45, no. 2 (2016): 866–77. http://dx.doi.org/10.1080/00927872.2016.1175611.

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3

Gruber, Helmut. "Rhetorical Structure Theory and quality assessment of students’ texts." Information Design Journal 14, no. 2 (2006): 114–29. http://dx.doi.org/10.1075/idj.14.2.04gru.

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In this paper, I argue that the analysis of coherence structures of university students’ texts may contribute to text improvement. Furthermore, my results suggest a relationship between various coherence phenomena and the grades students earn for their papers. Based on the analysis of Austrian university students’ texts from three different business and economy-related study programs and interviews with instructors, I demonstrate that due to the often superficial grading practice of instructors, ‘disrupted text spans’ frequently remain unnoticed although they impair text quality. Regarding the

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4

Hu, Naihong. "Irreducible constituents of graded modules for graded contact lie algebras of cartan type." Communications in Algebra 22, no. 14 (1994): 5951–71. http://dx.doi.org/10.1080/00927879408825171.

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5

Xue, Zhan-ao, Min-jie Lv, Dan-jie Han, and Xian-wei Xin. "Multi-Granulation Graded Rough Intuitionistic Fuzzy Sets Models Based on Dominance Relation." Symmetry 10, no. 10 (2018): 446. http://dx.doi.org/10.3390/sym10100446.

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From the perspective of the degrees of classification error, we proposed graded rough intuitionistic fuzzy sets as the extension of classic rough intuitionistic fuzzy sets. Firstly, combining dominance relation of graded rough sets with dominance relation in intuitionistic fuzzy ordered information systems, we designed type-I dominance relation and type-II dominance relation. Type-I dominance relation reduces the errors caused by single theory and improves the precision of ordering. Type-II dominance relation decreases the limitation of ordering by single theory. After that, we proposed graded

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6

Solberg, Øyvind. "A graded ring of finite cohen-macaulay type." Communications in Algebra 16, no. 10 (1988): 2121–24. http://dx.doi.org/10.1080/00927878808823681.

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7

Stone, Branden. "Super-stretched and graded countable Cohen–Macaulay type." Journal of Algebra 398 (January 2014): 1–20. http://dx.doi.org/10.1016/j.jalgebra.2013.09.017.

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Hu, Jun, Andrew Mathas та Salim Rostam. "Skew cellularity of the Hecke algebras of type 𝐺(ℓ,𝑝,𝑛)". Representation Theory of the American Mathematical Society 27, № 15 (2023): 508–73. http://dx.doi.org/10.1090/ert/646.

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This paper introduces (graded) skew cellular algebras, which generalise Graham and Lehrer’s cellular algebras. We show that all of the main results from the theory of cellular algebras extend to skew cellular algebras and we develop a “cellular algebra Clifford theory” for the skew cellular algebras that arise as fixed point subalgebras of cellular algebras. As an application of this general theory, the main result of this paper proves that the Hecke algebras of type G ( ℓ , p , n ) G(\ell ,p,n) are graded skew cellular algebras. In the special case when p = 2 p = 2 this implies that the Hecke

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Karpenko, Nikita, та Alexander Merkurjev. "Equivariant connective 𝐾-theory". Journal of Algebraic Geometry 31, № 1 (2021): 181–204. http://dx.doi.org/10.1090/jag/773.

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For separated schemes of finite type over a field with an action of an affine group scheme of finite type, we construct the bi-graded equivariant connective K K -theory mapping to the equivariant K K -homology of Guillot and the equivariant algebraic K K -theory of Thomason. It has all the standard basic properties as the homotopy invariance and localization. We also get the equivariant version of the Brown-Gersten-Quillen spectral sequence and study its convergence.

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10

Rajani, Vineet, Gilles Barthe, and Deepak Garg. "A Modal Type Theory of Expected Cost in Higher-Order Probabilistic Programs." Proceedings of the ACM on Programming Languages 8, OOPSLA2 (2024): 389–414. http://dx.doi.org/10.1145/3689725.

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The design of online learning algorithms typically aims to optimise the incurred loss or cost , e.g., the number of classification mistakes made by the algorithm. The goal of this paper is to build a type-theoretic framework to prove that a certain algorithm achieves its stated bound on the cost. Online learning algorithms often rely on randomness, their loss functions are often defined as expectations, precise bounds are often non-polynomial (e.g., logarithmic) and proofs of optimality often rely on potential-based arguments. Accordingly, we present pλ-amor, a type-theoretic graded modal fram

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Kubota, Yosuke. "Notes on twisted equivariant K-theory for C*-algebras." International Journal of Mathematics 27, no. 06 (2016): 1650058. http://dx.doi.org/10.1142/s0129167x16500580.

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In this paper, we study a generalization of twisted (groupoid) equivariant K-theory in the sense of Freed–Moore for [Formula: see text]-graded [Formula: see text]-algebras. It is defined by using Fredholm operators on Hilbert modules with twisted representations. We compare it with another description using odd symmetries, which is a generalization of van Daele’s K-theory for [Formula: see text]-graded Banach algebras. In particular, we obtain a simple presentation of the twisted equivariant K-group when the [Formula: see text]-algebra is trivially graded. It is applied for the bulk-edge corre

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12

Mattarei, Sandro, and Simone Ugolini. "Graded Lie algebras of maximal class of type n." Journal of Algebra 593 (March 2022): 142–77. http://dx.doi.org/10.1016/j.jalgebra.2021.11.012.

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Iusa, Valentina, Sandro Mattarei, and Claudio Scarbolo. "Graded Lie algebras of maximal class of type p." Journal of Algebra 588 (December 2021): 77–117. http://dx.doi.org/10.1016/j.jalgebra.2021.08.013.

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14

Wu, Jiang, and Song Xiang. "A Trigonometric Shear Deformation Theory for Free Vibration Analysis of Functionally Graded Plates." Applied Mechanics and Materials 680 (October 2014): 284–87. http://dx.doi.org/10.4028/www.scientific.net/amm.680.284.

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A trigonometric shear deformation theory is presented to analyze the free vibration of functionally graded plate. The Navier-type analytical method is used to solve the governing differential equations. The natural frequencies of simply supported functionally graded plates are calculated and compared with the available results.

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15

Holmes, Randall R., and Daniel K. Nakano. "Brauer-type reciprocity for a class of graded associative algebras." Journal of Algebra 144, no. 1 (1991): 117–26. http://dx.doi.org/10.1016/0021-8693(91)90132-r.

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Haefner, Jeremy. "Reduction Techniques for Strongly Graded Rings and Finite Representation Type." Journal of Algebra 194, no. 2 (1997): 567–93. http://dx.doi.org/10.1006/jabr.1997.7031.

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Küronya, Alex, and Alexandre Wolfe. "A Briançon–Skoda type theorem for graded systems of ideals." Journal of Algebra 307, no. 2 (2007): 795–803. http://dx.doi.org/10.1016/j.jalgebra.2006.09.020.

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Barbasch, Dan, and Dan Ciubotaru. "Whittaker unitary dual of affine graded Hecke algebras of type E." Compositio Mathematica 145, no. 6 (2009): 1563–616. http://dx.doi.org/10.1112/s0010437x09004230.

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AbstractThis paper gives the classification of the Whittaker unitary dual for affine graded Hecke algebras of type E. By the Iwahori–Matsumoto involution, this is also equivalent to the classification of the spherical unitary dual for type E. Together with some results of Barbasch and Moy (D. Barbasch and A. Moy, Unitary spherical spectrum for p-adic classical groups, Acta Appl. Math. 44 (1996), 3–37; D. Barbasch, The spherical unitary spectrum of split classical real and p-adic groups, Preprint (2006), math/0609828) and Ciubotaru (D. Ciubotaru, The Iwahori spherical unitary dual of the split

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19

Mitsuhashi, Hideo. "Z2-graded Clifford system in the Hecke algebra of type Bn." Journal of Algebra 264, no. 1 (2003): 231–50. http://dx.doi.org/10.1016/s0021-8693(03)00104-2.

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20

Shu, Bin. "The Generalized Restricted Representations of Graded Lie Algebras of Cartan Type." Journal of Algebra 194, no. 1 (1997): 157–77. http://dx.doi.org/10.1006/jabr.1996.7021.

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SHU, BIN, and YU-FENG YAO. "ON CARTAN INVARIANTS FOR GRADED LIE ALGEBRAS OF CARTAN TYPE." Journal of Algebra and Its Applications 13, no. 03 (2013): 1350101. http://dx.doi.org/10.1142/s0219498813501016.

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Let L = X(m; n), X ∈ {W, S, H, K}, be a graded simple Lie algebra of Cartan type over an algebraically closed field of characteristic p > 3. Then L is a so-called generalized restricted Lie algebra. Let [Formula: see text] be the primitive p-envelope of L, and G = X(m; 1), a subalgebra of [Formula: see text]. In this paper, a close connection between Cartan invariants for [Formula: see text] and U(G, χ) is established, where χ ∈ L* is extended to be a linear function on [Formula: see text] trivially, and 1 ≤ ht (χ) < p-2+δXW. This reduces the study of projective representations of the ge

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22

Liu, Wende, and Jixia Yuan. "Automorphism groups of modular graded Lie superalgebras of Cartan-type." Journal of Algebra and Its Applications 16, no. 03 (2017): 1750050. http://dx.doi.org/10.1142/s0219498817500505.

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Suppose the underlying field is of characteristic [Formula: see text]. In this paper, we prove that the automorphisms of the finite-dimensional graded (non-restircited) Lie superalgebras of Cartan-type [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] can uniquely extend to the ones of the infinite-dimensional Lie superalgebra of Cartan-type [Formula: see text]. Then a concrete group embedding from [Formula: see text] into [Formula: see text] is established, where [Formula: see text] is any finite-dimensional Lie superalgebra of Cartan-type [Formula: see text]

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23

Ton-That, Lan Hoang. "Behavior of Functionally Graded Porous Plate in Bending with Smoothed Element." Journal of Mechanical Engineering 27, no. 4 (2024): 51–58. https://doi.org/10.15407/pmach2024.04.051.

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The bending analysis of functionally graded porous (FGP) plates using a four-node quadrilateral element connected to the C0-type of Reddy's third-order shear deformation theory and cell-based smoothed strains is presented in this paper. Reddy's theory surely uses the advantages and desirable properties of third-order shear deformation theory. Moreover, FGP plates with advanced material properties are changed from the bottom to the top surface, respectively. Numerical results and comparisons with other reference solutions indicate the accuracy and efficiency of the current element in the analys

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24

Ramya, Rashmi Rout, Ranjan Dash Rati, and Kumari Padhy Mamata. "Free Vibration Analysis Of Functionally Graded Nanobeams Using Doublet Mechanics Theory." Research and Development in Machine Design 5, no. 2 (2022): 1–15. https://doi.org/10.5281/zenodo.6956869.

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Free vibration analysis of functionally graded (FG) nanobeams is examined using doublet mechanics theory. The material properties of FG nanobeams change with the thickness coordinate. Most of the size dependent continuum models (nonlocal stress gradient, strain gradient and couple stress theories) predict only softening or hardening material behaviour. Except of these size dependent theories doublet mechanics predicts both softening and hardening responses of the material like experiments in micro/nano-structures. A periodic nanostructure model is considered in FG nanobeams which has a simple

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25

Xu, Guang-Hui, Huai-Wei Huang, and Yong-Qiang Zhang. "Vibration of Elastic Functionally Graded Thick Rings." Shock and Vibration 2017 (2017): 1–7. http://dx.doi.org/10.1155/2017/1803710.

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The free vibration behaviors of functionally graded rings were investigated theoretically. The material graded in the thickness direction according to the power law rule and the rings were assumed to be in plane stress and plane strain states. Based on the first-order shear deformation theory and the kinetic relation of von Kárman type, the frequency equation for free vibration of functionally graded ring was derived. The derived results were verified by those in literatures which reveals that the present theory can be appropriate to predict the free vibration characteristics for quite thick r

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26

Lee, Dae-Woong, Sunyoung Lee, Yeonjeong Kim, and Jeong-Eun Lim. "On automorphisms of graded quasi-lie algebras." Filomat 34, no. 9 (2020): 3141–50. http://dx.doi.org/10.2298/fil2009141l.

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Let Z be the ring of integers and let K(Z,2n) denote the Eilenberg-MacLane space of type (Z,2n) for n ? 1. In this article, we prove that the graded group Am := Aut(??2mn+1(?K(Z,2n))=torsions) of automorphisms of the graded quasi-Lie algebras ?? 2mn+1(?K(Z,2n)) modulo torsions that preserve the Whitehead products is a finite group for m ? 2 and an infinite group for m ? 3, and that the group Aut(?*(K(Z,2n))=torsions) is non-abelian. We extend and apply those results to techniques in localization (or rationalization) theory.

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27

TON THAT, Lan Hoang. "FUNCTIONALLY GRADED POROUS MATERIAL FOR PLATES WITH COMPLEX CUTOUTS AND FINITE ELEMENT MODELING FOR FREE VIBRATION BEHAVIOR." European Journal of Materials Science and Engineering 7, no. 3 (2022): 169–82. http://dx.doi.org/10.36868/ejmse.2022.07.03.169.

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The free vibration behaviors of functionally graded porous plates with complex cutouts are investigated according to a novel C0 type high order shear deformation theory. Both the effect of normal and shear strains are included in this theory as well as shear correction factor is not needed in it. Numerical results have been presented and compared with those available in the literatures. The influences of some parameters like porosity factor and the exponent graded are also studied in this paper. Some new results are finally presented as benchmark for further validation in the future.

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Patil, D. P., and G. Tamone. "ON THE TYPE OF THE ASSOCIATED GRADED RING OF CERTAIN MONOMIAL CURVES." Communications in Algebra 30, no. 11 (2002): 5181–98. http://dx.doi.org/10.1081/agb-120015647.

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29

Holmes, R. R., and D. K. Nakano. "Block Degeneracy and Cartan Invariants for Graded Lie Algebras of Cartan Type." Journal of Algebra 161, no. 1 (1993): 155–70. http://dx.doi.org/10.1006/jabr.1993.1210.

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30

BOUSAHLA, ABDELMOUMEN ANIS, MOHAMMED SID AHMED HOUARI, ABDELOUAHED TOUNSI, and EL ABBAS ADDA BEDIA. "A NOVEL HIGHER ORDER SHEAR AND NORMAL DEFORMATION THEORY BASED ON NEUTRAL SURFACE POSITION FOR BENDING ANALYSIS OF ADVANCED COMPOSITE PLATES." International Journal of Computational Methods 11, no. 06 (2014): 1350082. http://dx.doi.org/10.1142/s0219876213500825.

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In this paper, a new trigonometric higher-order theory including the stretching effect is developed for the static analysis of advanced composite plates such as functionally graded plates. The number of unknown functions involved in the present theory is only five as against six or more in case of other shear and normal deformation theories. The governing equations are derived by employing the principle of virtual work and the physical neutral surface concept. There is no stretching–bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and

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Ebrahimi, Farzad, and Mohammad R. Barati. "Buckling analysis of nonlocal strain gradient axially functionally graded nanobeams resting on variable elastic medium." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 11 (2017): 2067–78. http://dx.doi.org/10.1177/0954406217713518.

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This paper provides the first examination of buckling behavior of axially functionally graded nanobeams. A nonlocal strain gradient theory consisting of two scale parameter is employed for modeling of size-dependent behavior axially functionally graded nanobeam much accurately. This theory takes into account both nonlocal stress field and strain gradient effects on the response of nanostructures. A power-law model is used to describe the distribution of material properties along the axial direction. The axially functionally graded nanobeam is in contact with a non-uniform elastic medium which

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LIU, WENDE, and Q. I. WANG. "MAXIMAL SUBALGEBRAS FOR MODULAR GRADED LIE SUPERALGEBRAS OF ODD CARTAN TYPE." Transformation Groups 20, no. 4 (2015): 1075–106. http://dx.doi.org/10.1007/s00031-015-9329-6.

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33

Fresse, Benoit. "The extended rational homotopy theory of operads." Georgian Mathematical Journal 25, no. 4 (2018): 493–512. http://dx.doi.org/10.1515/gmj-2018-0061.

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Abstract In this paper, we set up a rational homotopy theory for operads in simplicial sets whose term of arity one is not necessarily reduced to an operadic unit, extending results obtained by the author in the book [B. Fresse, Homotopy of Operads and Grothendieck–Teichmüller Groups. Part 2. The Applications of (Rational) Homotopy Theory Methods, Math. Surveys Monogr. 217, American Mathematical Society, Providence, 2017]. In short, we prove that the rational homotopy type of such an operad is determined by a cooperad in cochain differential graded algebras (a cochain Hopf dg-cooperad for shor

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Sreeju Nair S B, C. Pany. "Functionally Graded Panels: A Review." International Journal for Modern Trends in Science and Technology, no. 8 (August 5, 2020): 36–43. http://dx.doi.org/10.46501/ijmtst060808.

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Functionally gradedmaterials (FGMs) are not homogeneous materials. It consists of different(two or more) materials, engineered to have a continuously varying spatial composition profile. FGM is the one that can solve practical problems arising from the production and application of a new type of composite material. This paper describes the overview of FGM basic concepts, classification, properties, and its modeling which may focus on the static and dynamic analysis of functionally graded panels. The effective material properties of functionally graded materials for the panel are graded in the

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Movahedfar, Vahid, Mohammad M. Kheirikhah, Younes Mohammadi, and Farzad Ebrahimi. "Modified strain gradient theory for nonlinear vibration analysis of functionally graded piezoelectric doubly curved microshells." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236, no. 8 (2021): 4219–31. http://dx.doi.org/10.1177/09544062211045886.

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Based on modified strain gradient theory, nonlinear vibration analysis of a functionally graded piezoelectric doubly curved microshell in thermal environment has been performed in this research. Three scale parameters have been included in the modeling of thin doubly curved microshell in order to capture micro-size effects. Graded material properties between the top and bottom surfaces of functionally graded piezoelectric doubly curved microshell have been considered via incorporating power-law model. It is also assumed that the microshell is exposed to a temperature field of uniform type and

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Contreras, Ivan, and Nicolás Martínez Alba. "Poly-symplectic geometry and the AKSZ formalism." Reviews in Mathematical Physics 33, no. 09 (2021): 2150030. http://dx.doi.org/10.1142/s0129055x21500306.

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In this paper, we extend the AKSZ formulation of the Poisson sigma model to more general target spaces, and we develop the general theory of graded geometry for poly-symplectic and poly-Poisson structures. In particular, we prove a Schwarz-type theorem and transgression for graded poly-symplectic structures, recovering the action functional and the poly-symplectic structure of the reduced phase space of the poly-Poisson sigma model, from the AKSZ construction.

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Vaš, Lia. "Graded irreducible representations of Leavitt path algebras: A new type and complete classification." Journal of Pure and Applied Algebra 227, no. 3 (2023): 107213. http://dx.doi.org/10.1016/j.jpaa.2022.107213.

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Yahya, Faridah Hanim, Aszunarni Ayob, Mohd Ridhuan Mohd Jamil, Abdussakir Abdussakir, and Nurul Ain Mohd Daud. "Psychometric evaluation of the UTAUT scale using the graded response model." International Journal of ADVANCED AND APPLIED SCIENCES 12, no. 4 (2025): 152–63. https://doi.org/10.21833/ijaas.2025.04.017.

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This study examined the reliability and validity of the Unified Theory of Acceptance and Use of Technology (UTAUT) measurement instrument. The sample included 202 mathematics teachers randomly selected from national secondary schools in Malaysia. The dataset was analyzed using the MIRT (Multidimensional Item Response Theory) and LTM (Latent Trait Models) packages in R software. The psychometric properties of the UTAUT scale were assessed using the graded response model (GRM), a type of Item Response Theory (IRT) model. The findings indicate that the scale effectively differentiates between var

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Yatsui, Tomoaki. "On conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type." Differential Geometry and its Applications 60 (October 2018): 116–31. http://dx.doi.org/10.1016/j.difgeo.2018.06.001.

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Machida, Yoshinori, and Hajime Sato. "Twistor theory of manifolds with Grassmannian structures." Nagoya Mathematical Journal 160 (2000): 17–102. http://dx.doi.org/10.1017/s0027763000007698.

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AbstractAs a generalization of the conformal structure of type (2, 2), we study Grassmannian structures of type (n, m) forn, m≥ 2. We develop their twistor theory by considering the complete integrability of the associated null distributions. The integrability corresponds to global solutions of the geometric structures.A Grassmannian structure of type (n, m) on a manifoldMis, by definition, an isomorphism from the tangent bundleTMofMto the tensor productV ⊗ Wof two vector bundlesVandWwith ranknandmoverMrespectively. Because of the tensor product structure, we have two null plane bundles with f

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Hirano, Yuki. "Derived Knörrer periodicity and Orlov’s theorem for gauged Landau–Ginzburg models." Compositio Mathematica 153, no. 5 (2017): 973–1007. http://dx.doi.org/10.1112/s0010437x16008344.

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We prove a Knörrer-periodicity-type equivalence between derived factorization categories of gauged Landau–Ginzburg models, which is an analogy of a theorem proved by Shipman and Isik independently. As an application, we obtain a gauged Landau–Ginzburg version of Orlov’s theorem describing a relationship between categories of graded matrix factorizations and derived categories of hypersurfaces in projective spaces, by combining the above Knörrer periodicity type equivalence and the theory of variations of geometric invariant theory quotients due to Ballard, Favero and Katzarkov.

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Khalili, Seyyed Mohammad Reza, K. Malekzadeh, and A. Davar. "Dynamic Response of Functionally Graded Circular Cylindrical Shells." Advanced Materials Research 47-50 (June 2008): 608–11. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.608.

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In this paper the response of circular cylindrical shell made of Functionally Graded Material (FGM) subjected to lateral impulse load was investigated. The effective material properties are assumed to vary continuously along the thickness direction according to a volume fraction power law distribution. First order shear deformation theory (FSDT) and Love's first approximation theory were utilized in the equilibrium equations. The boundary condition was considered to be simply supported. Displacement components are product of functions of position and time. Equilibrium equations for free and fo

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Sari, Ma’en S., Mohammad Al-Rbai, and Bashar R. Qawasmeh. "Free vibration characteristics of functionally graded Mindlin nanoplates resting on variable elastic foundations using the nonlocal elasticity theory." Advances in Mechanical Engineering 10, no. 12 (2018): 168781401881345. http://dx.doi.org/10.1177/1687814018813458.

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In this research, free vibration behavior of thick functionally graded nanoplates is carried out using the Chebyshev spectral collocation method. It is assumed that the plates are resting on variable elastic foundations. Eringen’s nonlocal elasticity theory is used to capture the size effect, and Mindlin’s first-order shear deformation plate theory is employed to model the thick nanoplates. Hamilton’s principle along with the differential form of Eringen’s constitutive relations are utilized to obtain the governing partial differential equations of motion for the functionally graded nanoplates

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Combariza, German, Juan Rodriguez, and Mario Velasquez. "Induced character in equivariant K-theory, wreath products and pullback of groups." Revista Colombiana de Matemáticas 56, no. 1 (2022): 35–61. http://dx.doi.org/10.15446/recolma.v56n1.105613.

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Let G be a finite group and let X be a compact G-space. In this note we study the (Z+ × Z/2Z)-graded algebra FqG (X) = ⊕n ≤ 0 qn · KG∫Gn(Xn) ⊗ C, defined in terms of equivariant K-theory with respect to wreath products as a symmetric algebra, we review some properties of FqG (X) proved by Segal and Wang. We prove a Kunneth type formula for this graded algebras, more specifically, let H be another finite group and let Y be a compact H-space, we give a decomposition of FqG × H (X × Y) in terms of FqG (X) and FqH (Y). For this, we need to study the representation theory of pullbacks o

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Merdaci, Slimane, Hadj Mostefa Adda, Belghoul Hakima, Rossana Dimitri, and Francesco Tornabene. "Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates." Journal of Composites Science 5, no. 11 (2021): 305. http://dx.doi.org/10.3390/jcs5110305.

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The present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al2O3) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically based on a higher-order shear deformation plate theory, while proposing a Navier-type approximation to solve the governing equations for simply-supported plates with different porosity distributions in the thickness direction. The reliability of the proposed theory is checked successfully by comparing the present results with predictions availa

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Dai, Shouxin, and Marc Levine. "Connective Algebraic K-theory." Journal of K-Theory 13, no. 1 (2014): 9–56. http://dx.doi.org/10.1017/is013012007jkt249.

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AbstractWe examine the theory of connective algebraic K-theory, , defined by taking the −1 connective cover of algebraic K-theory with respect to Voevodsky's slice tower in the motivic stable homotopy category. We extend to a bi-graded oriented duality theory when the base scheme is the spectrum of a field k of characteristic zero. The homology theory may be viewed as connective algebraic G-theory. We identify for X a finite type k-scheme with the image of in , where is the abelian category of coherent sheaves on X with support in dimension at most n; this agrees with the (2n,n) part of the th

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Baferani, A. Hasani, A. R. Saidi, and E. Jomehzadeh. "An exact solution for free vibration of thin functionally graded rectangular plates." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 3 (2010): 526–36. http://dx.doi.org/10.1243/09544062jmes2171.

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The aim of this article is to find an exact analytical solution for free vibration characteristics of thin functionally graded rectangular plates with different boundary conditions. The governing equations of motion are obtained based on the classical plate theory. Using an analytical method, three partial differential equations of motion are reformulated into two new decoupled equations. Based on the Navier solution, a closed-form solution is presented for natural frequencies of functionally graded simply supported rectangular plates. Then, considering Levy-type solution, natural frequencies

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Shabanskaya, A. "Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L4." Communications in Algebra 48, no. 2 (2019): 490–507. http://dx.doi.org/10.1080/00927872.2019.1648652.

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Chiu, Sen. "Central extensions and H1(L, L∗) of the graded lie algebras of cartan type." Journal of Algebra 149, no. 1 (1992): 46–67. http://dx.doi.org/10.1016/0021-8693(92)90004-6.

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Neher, Erhard, and Maribel Tocón. "Lie tori of type B2 and graded-simple Jordan structures covered by a triangle." Journal of Algebra 344, no. 1 (2011): 78–113. http://dx.doi.org/10.1016/j.jalgebra.2011.07.008.

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