Academic literature on the topic 'Smash product algebras'

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Journal articles on the topic "Smash product algebras"

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Chen, Xiao-yuan. "Smash product algebras over twisted dimodule algebras." Applied Mathematics-A Journal of Chinese Universities 23, no. 3 (2008): 366–70. http://dx.doi.org/10.1007/s11766-008-1919-9.

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Ma, Tianshui, Haiying Li, and Tao Yang. "Cobraided smash product Hom-Hopf algebras." Colloquium Mathematicum 134, no. 1 (2014): 75–92. http://dx.doi.org/10.4064/cm134-1-3.

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LI, HAISHENG. "A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS." Communications in Contemporary Mathematics 09, no. 05 (2007): 605–37. http://dx.doi.org/10.1142/s0219199707002605.

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A notion of vertex bialgebra and a notion of nonlocal vertex module-algebra for a vertex bialgebra are studied and then a smash product construction of nonlocal vertex algebras is presented. For every nonlocal vertex algebra V satisfying a suitable condition, a canonical bialgebra B(V) is constructed such that primitive elements of B(V) are essentially pseudo-derivations and group-like elements are essentially pseudo-endomorphisms. As an application, vertex algebras associated with the Heisenberg Lie algebras as well as those associated with the nondegenerate even lattices are reconstructed th
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Zhou, Nan, and Shuanhong Wang. "A duality theorem for weak multiplier Hopf algebra actions." International Journal of Mathematics 28, no. 05 (2017): 1750032. http://dx.doi.org/10.1142/s0129167x1750032x.

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The main purpose of this paper is to unify the theory of actions of Hopf algebras, weak Hopf algebras and multiplier Hopf algebras to one of actions of weak multiplier Hopf algebras introduced by Van Daele and Wang. Using such developed actions, we will define the notion of a module algebra over weak multiplier Hopf algebras and construct their smash products. The main result is the duality theorem for actions and their dual actions on the smash product of weak multiplier Hopf algebras. As an application, we recover the main results found in the literature for weak Hopf algebras, multiplier Ho
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Ciungu, Mădălin, and Florin Panaite. "L-R-Smash Products and L-R-Twisted Tensor Products of Algebras." Algebra Colloquium 21, no. 01 (2014): 129–46. http://dx.doi.org/10.1142/s1005386714000091.

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We introduce a common generalization of the L-R-smash product and twisted tensor product of algebras, under the name L-R-twisted tensor product of algebras. We investigate some properties of this new construction, for instance, we prove a result of the type “invariance under twisting” and we show that under certain circumstances L-R-twisted tensor products of algebras may be iterated.
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Cordeiro, Luiz Gustavo. "Sectional algebras of semigroupoid bundles." International Journal of Algebra and Computation 30, no. 06 (2020): 1257–304. http://dx.doi.org/10.1142/s0218196720500411.

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In this paper, we use semigroupoids to describe a notion of algebraic bundles, mostly motivated by Fell ([Formula: see text]-algebraic) bundles, and the sectional algebras associated to them. As the main motivational example, Steinberg algebras may be regarded as the sectional algebras of trivial (direct product) bundles. Several theorems which relate geometric and algebraic constructions — via the construction of a sectional algebra — are widely generalized: Direct products bundles by semigroupoids correspond to tensor products of algebras; semidirect products of bundles correspond to “naïve”
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Panaite, Florin, and Freddy Van Oystaeyen. "L-R-smash product for (quasi-)Hopf algebras." Journal of Algebra 309, no. 1 (2007): 168–91. http://dx.doi.org/10.1016/j.jalgebra.2006.07.020.

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Fang, Xiao-Li, та Tae-Hwa Kim. "(𝜃,ω)-Twisted Radford’s Hom-biproduct and ϖ-Yetter–Drinfeld modules for Hom-Hopf algebras". Journal of Algebra and Its Applications 19, № 03 (2020): 2050046. http://dx.doi.org/10.1142/s0219498820500462.

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To unify different definitions of smash Hom-products in a Hom-bialgebra [Formula: see text], we firstly introduce the notion of [Formula: see text]-twisted smash Hom-product [Formula: see text]. Secondly, we find necessary and sufficient conditions for the twisted smash Hom-product [Formula: see text] and the twisted smash Hom-coproduct [Formula: see text] to afford a Hom-bialgebra, which generalize the well-known Radford’s biproduct and the Hom-biproduct obtained in [H. Li and T. Ma, A construction of the Hom-Yetter–Drinfeld category, Colloq. Math. 137 (2014) 43–65]. Furthermore, we introduce
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SCHWEDE, STEFAN. "Stable homotopical algebra and Γ-spaces". Mathematical Proceedings of the Cambridge Philosophical Society 126, № 2 (1999): 329–56. http://dx.doi.org/10.1017/s0305004198003272.

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In this paper we advertise the category of Γ-spaces as a convenient framework for doing ‘algebra’ over ‘rings’ in stable homotopy theory. Γ-spaces were introduced by Segal [Se] who showed that they give rise to a homotopy category equivalent to the usual homotopy category of connective (i.e. (−1)-connected) spectra. Bousfield and Friedlander [BF] later provided model category structures for Γ-spaces. The study of ‘rings, modules and algebras’ based on Γ-spaces became possible when Lydakis [Ly] introduced a symmetric monoidal smash product with good homotopical properties. Here we develop model
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Borges, Inês, and Christian Lomp. "Quantum Groupoids Acting on Semiprime Algebras." Advances in Mathematical Physics 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/546058.

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Dissertations / Theses on the topic "Smash product algebras"

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Shakalli, Tang Jeanette. "Deformations of Quantum Symmetric Algebras Extended by Groups." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-05-10855.

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The study of deformations of an algebra has been a topic of interest for quite some time, since it allows us to not only produce new algebras but also better understand the original algebra. Given an algebra, finding all its deformations is, if at all possible, quite a challenging problem. For this reason, several specializations of this question have been proposed. For instance, some authors concentrate their efforts in the study of deformations of an algebra arising from an action of a Hopf algebra. The purpose of this dissertation is to discuss a general construction of a deformation of a
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Welsh, Charles Clymer. "Some results in crossed products and lie algebra smash products." 1990. http://catalog.hathitrust.org/api/volumes/oclc/22425708.html.

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Young, Christopher. "The Depth of a Hopf algebra in its Smash Product." Tese, 2014. https://repositorio-aberto.up.pt/handle/10216/102331.

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Young, Christopher. "The Depth of a Hopf algebra in its Smash Product." Doctoral thesis, 2014. https://repositorio-aberto.up.pt/handle/10216/102331.

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Books on the topic "Smash product algebras"

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Conference on Hopf Algebras and Tensor Categories (2011 University of Almeria). Hopf algebras and tensor categories: International conference, July 4-8, 2011, University of Almería, Almería, Spain. Edited by Andruskiewitsch Nicolás 1958-, Cuadra Juan 1975-, and Torrecillas B. (Blas) 1958-. American Mathematical Society, 2013.

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Bruner, R. R. H. Springer, 1986.

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1950-, Bruner R. R., ed. H[infinity] ring spectra and their applications. Springer-Verlag, 1986.

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Book chapters on the topic "Smash product algebras"

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Yan, Yan, Nan Ji, Lihui Zhou, and Qiuna Zhang. "Some Properties of a Right Twisted Smash Product A*H over Weak Hopf Algebras." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16336-4_14.

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Dăscălescu, S., Ş. Raianu, and F. Van Oystaeyen. "Smash (Co)products from Adjunctions." In rings, Hopf algebras, and Bnauen groups. CRC Press, 2020. http://dx.doi.org/10.1201/9781003071730-6.

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"Actions of finite-dimensional Hopf algebras and smash products (chapter 4)." In Hopf Algebras and Their Actions on Rings. American Mathematical Society, 1993. http://dx.doi.org/10.1090/cbms/082/04.

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Conference papers on the topic "Smash product algebras"

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Zhao Lihui. "Generalized L-R smash products and diagonal crossed products of multiplier Hopf algebras." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002679.

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