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Relevant bibliographies by topics / Universaali algebra

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Academic literature on the topic 'Universaali algebra'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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Journal articles on the topic "Universaali algebra"

1

Poinsot, Laurent. "Wronskian Envelope of a Lie Algebra." Algebra 2013 (May 29, 2013): 1–8. http://dx.doi.org/10.1155/2013/341631.

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The famous Poincaré-Birkhoff-Witt theorem states that a Lie algebra, free as a module, embeds into its associative envelope—its universal enveloping algebra—as a sub-Lie algebra for the usual commutator Lie bracket. However, there is another functorial way—less known—to associate a Lie algebra to an associative algebra and inversely. Any commutative algebra equipped with a derivation , that is, a commutative differential algebra, admits a Wronskian bracket under which it becomes a Lie algebra. Conversely, to any Lie algebra a commutative differential algebra is universally associated, its Wron

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Jamjoom, F. B. H., and A. H. Al Otaibi. "On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras." International Journal of Mathematics and Mathematical Sciences 2020 (October 19, 2020): 1–7. http://dx.doi.org/10.1155/2020/6976084.

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The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C ∗ -algebras) can be described as significant and influential. Examples of numerous relationships have been established. In this article, we established a relationship between the set of split faces of the state space (resp. normal states) of a JC-algebra (resp. a JW-algebra) and the set of split faces of the state space (resp. normal states) of its universal enveloping C ∗ -algebra (resp. von Neumann algebra), and we tied up this relationship with the correspondence between the

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CHOBAN, MITROFAN M., and INA D. CIOBANU. "On totally bounded universal algebras." Creative Mathematics and Informatics 21, no. 2 (2012): 151–65. http://dx.doi.org/10.37193/cmi.2012.02.13.

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In the class of topological algebras of a given signature the notions of totally boundedness and a-pseudocompactness are introduced. A topological algebra is totally bounded if it is a subalgebra of a compact algebra. The general properties of totally bounded algebras are studied. The compactifications of topological algebras are investigated too. In particular, the problem of the continuous extension of the operation on the Stone-Cech compactification is studied.

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ARDIZZONI, ALESSANDRO. "UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE." Glasgow Mathematical Journal 54, no. 1 (2011): 9–26. http://dx.doi.org/10.1017/s0017089511000310.

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AbstractWe continue our investigation of the general notion of universal enveloping algebra introduced in [A. Ardizzoni, A Milnor–Moore type theorem for primitively generated braided Bialgebras, J. Algebra 327(1) (2011), 337–365]. Namely, we study a universal enveloping algebra when it is of Poincaré–Birkhoff–Witt (PBW) type, meaning that a suitable PBW-type theorem holds. We discuss the problem of finding a basis for a universal enveloping algebra of PBW type: as an application, we recover the PBW basis both of an ordinary universal enveloping algebra and of a restricted enveloping algebra. W

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Kolesnikov, P. S. "Gröbner–Shirshov Bases for Replicated Algebras." Algebra Colloquium 24, no. 04 (2017): 563–76. http://dx.doi.org/10.1142/s1005386717000372.

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We establish a universal approach to solutions of the word problem in the varieties of di- and tri-algebras. This approach, for example, allows us to apply Gröbner–Shirshov bases method for Lie algebras to solve the ideal membership problem in free Leibniz algebras (Lie di-algebras). As another application, we prove an analogue of the Poincaré–Birkhoff–Witt Theorem for universal enveloping associative tri-algebra of a Lie tri-algebra (CTD!-algebra).

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Kandelaki, T. "On the Universal C*-Algebra Generated by Partial Isometry." gmj 5, no. 4 (1998): 333–40. http://dx.doi.org/10.1515/gmj.1998.333.

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Abstract A universal C*-algebra is constructed which is generated by a partial isometry. Using grading on this algebra we construct an analog of Cuntz algebras which gives a homotopical interpretation of KK-groups. It is proved that this algebra is homotopy equivalent up to stabilization by 2×2 matrices to M 2(C). Therefore those algebras are KK-isomorphic.

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Kolesnikov, P. S. "Universal enveloping Poisson conformal algebras." International Journal of Algebra and Computation 30, no. 05 (2020): 1015–34. http://dx.doi.org/10.1142/s0218196720500289.

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Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal associative conformal envelopes of the Virasoro conformal algebra and the Neveu–Schwartz conformal superalgebra.

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Padmanabhan, R., and P. Penner. "A Universal Variety of Point Algebras." Algebra Colloquium 17, no. 04 (2010): 647–58. http://dx.doi.org/10.1142/s1005386710000623.

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Point algebras introduced by Evans are algebraic systems which capture the essence of multiplications (a,b) · (c,d)=(p,q) defined on the set of all ordered pairs of elements of a set S, where p and q are selected from among a,b,c,d by some well-defined rule. In 1961, Jonsson and Tarski gave an interesting example of a variety of algebras of type 〈2,1,1〉 for illustrating the failure of certain free algebra properties. In this paper, we show that this equational class of algebras, called the JT-variety, is a universal variety of point algebras in the sense that every variety generated by a point

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Briggs, Christopher A. "Examples of uniform exponential growth in algebras." Journal of Algebra and Its Applications 16, no. 12 (2017): 1750241. http://dx.doi.org/10.1142/s0219498817502413.

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In this paper, we discuss the concept and examples of algebras of uniform exponential growth. We prove that Golod–Shafarevich algebras and group algebras of Golod–Shafarevich groups are of uniform exponential growth. We prove that uniform exponential growth of the universal enveloping algebra of a Lie algebra [Formula: see text] implies uniform exponential growth of [Formula: see text], and conversely should [Formula: see text] be graded by the natural numbers. We prove that a restricted Lie algebra is of uniform exponential growth if and only if its universal enveloping algebra is. We proceed

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Price, Kenneth L. "Generic Lie colour algebras." Bulletin of the Australian Mathematical Society 71, no. 2 (2005): 327–35. http://dx.doi.org/10.1017/s0004972700038284.

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We describe a type of Lie colour algebra, which we call generic, whose universal enveloping algebra is a domain with finite global dimension. Moreover, it is an iterated Ore extension. We provide an application and show Gröbner basis methods can be used to study universal enveloping algebras of factors of generic Lie colour algebras.

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Dissertations / Theses on the topic "Universaali algebra"

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Partala, J. (Juha). "Algebraic methods for cryptographic key exhange." Doctoral thesis, Oulun yliopisto, 2015. http://urn.fi/urn:isbn:9789526207445.

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Abstract Cryptographic key exchange is an integral part of modern cryptography. Such schemes allow two parties to derive a common secret key over a public channel without a priori shared information. One of the most successful key agreement schemes is the one suggested by Diffie and Hellman in their seminal work on public key cryptography. In this thesis, we give an algebraic generalization of the Diffie-Hellman scheme called AGDH utilizing its implicit algebraic properties. The generalization is based on the problem of computing homomorphic images from an algebra to another. Appropriately, we

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Galbucci, Elena. "Confronto tra algebre monounarie e algebra universale." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amslaurea.unibo.it/1835/.

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Spinks, Matthew (Matthew James) 1970. "Contributions to the theory of pre-BCK-algebras." Monash University, Gippsland School of Computing and Information Technology, 2002. http://arrow.monash.edu.au/hdl/1959.1/7947.

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Amrhein, Beatrice. "Universal algebra in combinatory logic /." [S.l.] : [s.n.], 1992. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=10005.

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Ahlgren, Joyce Christine. "Ideals, varieties, and Groebner bases." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/2282.

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The topics explored in this project present and interesting picture of close connections between algebra and geometry. Given a specific system of polynomial equations we show how to construct a Groebner basis using Buchbergers Algorithm. Gröbner bases have very nice properties, e.g. they do give a unique remainder in the division algorithm. We use these bases to solve systems of polynomial quations in several variables and to determine whether a function lies in the ideal.

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O'Neill, Martin David. "Deformations of the universal enveloping algebra of the Lie algebra sl2." Thesis, University of Glasgow, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343912.

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Bergmann, Ansgar. "Finalstrukturen in ZFC im Hinblick auf partielle Algebren." Bonn : Mathematisch-Naturwissenschaftliche Fakultät der Rheinischen Friedrich- Wilhelms-Universität Bonn, 1986. http://catalog.hathitrust.org/api/volumes/oclc/14876712.html.

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Wiggins, Harry. "Factorization properties of universal algebras." Master's thesis, University of Cape Town, 2010. http://hdl.handle.net/11427/11343.

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Includes abstract.<br>Includes bibliographical references (leaves 92-95).<br>This dissertation deals with algebraic structures that can be written as the product of directly indecomposable algebras in a unique way up to isomorphism, known as the Unique Factorization Property. Here we undertake the task of collecting all the major results discovered by a few mathematicians (A. Tarski, B. J´onsson, R. Mckenzie, C. Chang, G. Birkhoff, L. Lovasz, etc.) over the past century. Another goal of this thesis was to highlight important and to introduce fresh techniques. The scope of most of them is still

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edu, rojkovsk@math upenn. "Family Algebras of Representations with Simple Spectrum." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1045.ps.

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10

Sial, Sultan Carleton University Dissertation Mathematics. "A quantum algebra associated with the universal algebra of su(2) and its dual space." Ottawa, 1991.

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Books on the topic "Universaali algebra"

1

An introduction to linear algebra. Dover, 1990.

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2

Plotkin, B. Universal Algebra, Algebraic Logic, and Databases. Springer Netherlands, 1994.

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Plotkin, B. I. Universal algebra, algebraic logic, and databases. Kluwer Academic Publishers, 1994.

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Plotkin, B. Universal Algebra, Algebraic Logic, and Databases. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0820-1.

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M, McGovern William. Completely prime maximal ideals and quantization. American Mathematical Society, 1994.

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Freese, Ralph S. Commutator theory for congruence modular varieties. Cambridge University Press, 1987.

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B, Kudri︠a︡vt︠s︡ev V., Rosenberg I. G. 1939-, Goldstein Martin, and NATO Public Diplomacy Division, eds. Structural theory of automata, semigroups, and universal algebra. Springer, 2005.

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8

Universal algebra. 2nd ed. Springer, 2008.

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9

McKenzie, Ralph. Algebras, lattices, varieties. Brooks/Cole Pub. Co., 1987.

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1945-, McNulty George F., and Taylor W. 1940-, eds. Algebras, lattices, varieties. Wadsworth & Brooks/Cole Advanced Books & Software, 1987.

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Book chapters on the topic "Universaali algebra"

1

Plotkin, B. "Category Algebra and Algebraic Theories." In Universal Algebra, Algebraic Logic, and Databases. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0820-1_7.

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2

Kaiser, Hans, Rainer Mlitz, and Gisela Zeilinger. "Universale Algebra." In Algebra für Informatiker. Springer Vienna, 1985. http://dx.doi.org/10.1007/978-3-7091-8820-0_7.

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3

Grätzer, George. "Appendix 5. Primality the influence of Boolean Algebras in Universal Algebra." In Universal Algebra. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-77487-9_14.

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Wechler, Wolfgang. "Universal Algebra." In Universal Algebra for Computer Scientists. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-76771-5_3.

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Artamonov, Vyacheslav A., Günter F. Pilz, Boris I. Plotkin, et al. "Universal Algebra." In The Concise Handbook of Algebra. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-3267-3_7.

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Cohn, P. M. "Universal Algebra." In Further Algebra and Applications. Springer London, 2003. http://dx.doi.org/10.1007/978-1-4471-0039-3_1.

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7

Birkhoff, Garrett. "Universal Algebra." In Selected Papers on Algebra and Topology by Garrett Birkhoff. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4612-5373-0_15.

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Sannella, Donald, and Andrzej Tarlecki. "Universal algebra." In Monographs in Theoretical Computer Science. An EATCS Series. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17336-3_1.

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Rudeanu, Sergiu. "Universal algebra." In Lattice Functions and Equations. Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0241-0_2.

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Grätzer, George. "Basic Concepts." In Universal Algebra. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-77487-9_1.

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Conference papers on the topic "Universaali algebra"

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Lebreton, Romain, and Éric Schost. "Algorithms for the universal decomposition algebra." In the 37th International Symposium. ACM Press, 2012. http://dx.doi.org/10.1145/2442829.2442864.

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Liu, Yun. "Generalized Disjunctive Languages and Universal Algebra." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814365123_0005.

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3

Gabbay, Murdoch J., and Dominic P. Mulligan. "Universal algebra over lambda-terms and nominal terms." In the Fourth International Workshop. ACM Press, 2009. http://dx.doi.org/10.1145/1577824.1577835.

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QiuMei, Sun, Li Meng, Hao FeiLong, and Song HongMei. "Universal Adjoint Action for Quantum Algebra wsl_q (2)." In Its Applications and Embedded Sys (CDEE). IEEE, 2010. http://dx.doi.org/10.1109/cdee.2010.92.

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Yanovski, Alexandar B., and Moses C. dos Santos. "Quadratic Casimir Invariants for “Universal” Lie Algebra Extensions." In INTERNATIONAL WORKSHOP ON COMPLEX STRUCTURES, INTEGRABILITY AND VECTOR FIELDS. AIP, 2011. http://dx.doi.org/10.1063/1.3567135.

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Moore, Matthew, and Taylor Walenczyk. "The Hidden Subgroup Problem for Universal Algebras." In LICS '20: 35th Annual ACM/IEEE Symposium on Logic in Computer Science. ACM, 2020. http://dx.doi.org/10.1145/3373718.3394764.

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Power, John. "The Universal Algebra of Computational Effects: Lawvere Theories and Monads." In Workshop on Mathematically Structured Functional Programming (MSFP 2006). BCS Learning & Development, 2006. http://dx.doi.org/10.14236/ewic/msfp2006.2.

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Husain, Sh K. Said, I. S. Rakhimov, and W. Basri. "Centroids and derivations of low-dimensional Leibniz algebra." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995838.

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Avetisyan, Maneh. "Universal dimensions of simple Lie algebras and configurations of points and lines." In RDP online workshop "Recent Advances in Mathematical Physics". Sissa Medialab, 2021. http://dx.doi.org/10.22323/1.394.0005.

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Jamri, A. A. S. Ahmad, Sh K. Said Husain, and I. S. Rakhimov. "Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995834.

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Reports on the topic "Universaali algebra"

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IOWA STATE UNIV AMES DEPT OF MATHEMATICS. Applications of Algebraic Logic and Universal Algebra to Computer Science. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada210556.

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