Relevant bibliographies by topics / Nonassociative rings and algebras – General nonassociative rings – Free algebras

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  1. Journal articles
  2. Dissertations / Theses
  3. Books

Academic literature on the topic 'Nonassociative rings and algebras – General nonassociative rings – Free algebras'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 February 2022

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Journal articles on the topic "Nonassociative rings and algebras – General nonassociative rings – Free algebras"

1

Pumplün, S., and V. Astier. "Nonassociative quaternion algebras over rings." Israel Journal of Mathematics 155, no. 1 (December 2006): 125–47. http://dx.doi.org/10.1007/bf02773952.

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Lakshmi Devi, G., and K. Jayalakshmi. "A reductive case on derivations in Vinberg (−1,1) rings." Asian-European Journal of Mathematics 11, no. 03 (May 3, 2018): 1850037. http://dx.doi.org/10.1142/s1793557118500377.

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In this paper, we describe the reductive pair [Formula: see text] with fixed decomposition [Formula: see text] and construct a reductive Vinberg [Formula: see text] ring relative to [Formula: see text] which is based on the construction of nonassociative algebras with specified simple Lie algebra [Formula: see text] of derivations. As a special case, we construct a class of Vinberg [Formula: see text] algebras ([Formula: see text], [Formula: see text] of dimension 8 with [Formula: see text] [Formula: see text] and determine its associated reductive Lie algebra [Formula: see text] [Formula: see text].
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3

Van den Berg, John E. "A note on uniform bounds of primeness in matrix rings." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 65, no. 2 (October 1998): 212–23. http://dx.doi.org/10.1017/s1446788700034960.

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AbstractA nonzero ring R is said to be uniformly strongly prime (of bound n) if n is the smallest positive integer such that for some n-element subset X of R we have xXy ≠ 0 whenever 0 ≠ x, y ∈ R. The study of uniformly strongly prime rings reduces to that of orders in matrix rings over division rings, except in the case n = 1. This paper is devoted primarily to an investigation of uniform bounds of primeness in matrix rings over fields. It is shown that the existence of certain n-dimensional nonassociative algebras over a field F decides the uniform bound of the n × n matrix ring over F.
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Dissertations / Theses on the topic "Nonassociative rings and algebras – General nonassociative rings – Free algebras"

1

Roeseler, Karsten. "Oktaven und Reduktionstheorie." Doctoral thesis, 2011. http://hdl.handle.net/11858/00-1735-0000-0006-B3F4-C.

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Books on the topic "Nonassociative rings and algebras – General nonassociative rings – Free algebras"

1

(Victor), Vinnikov V., ed. Foundations of free noncommutative function theory. Providence, Rhode Island: American Mathematical Society, 2014.

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2

Arkady, Berenstein, and Retakh Vladimir, eds. Noncommutative birational geometry, representations and combinatorics: AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA. Providence, Rhode Island: American Mathematical Society, 2013.

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author, Tkachev Vladimir 1963, and Vlăduț, S. G. (Serge G.), 1954- author, eds. Nonlinear elliptic equations and nonassociative algebras. Providence, Rhode Island: American Mathematical Society, 2014.

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1977-, Kochetov Mikhail, ed. Gradings on simple Lie algebras. Providence, Rhode Island: American Mathematical Society, 2013.

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The role of nonassociative algebra in projective geometry. Providence, Rhode Island: American Mathematical Society, 2014.

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Strade, Helmut, Thomas Weigel, Marina Avitabile, and Jörg Feldvoss. Lie algebras and related topics: Workshop in honor of Helmut Strade's 70th birthday : lie algebras, May 22-24, 2013, Università degli studi di Milano-Bicocca, Milano, Italy. Providence, Rhode Island: American Mathematical Society, 2015.

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Misra, Kailash C., Milen Yakimov, Pramod N. Achar, and Dijana Jakelic. Recent advances in representation theory, quantum groups, algebraic geometry, and related topics: AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana. Providence, Rhode Island: American Mathematical Society, 2014.

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France) International Conference on Noncommutative Rings and Their Applications (2013 Artois. Noncommutative rings and their applications: International Conference on Noncommutative Rings and Their Applications, July 1-4, 2013, University of Artois, France. Edited by Dougherty Steven 1966 editor, Facchini Alberto editor, Leroy, Andre (Andre Gerard), 1955- editor, Puczylowski Edmund editor, and Sole Patrick 1960 editor. Providence, Rhode Island: American Mathematical Society, 2015.

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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-. Providence, Rhode Island: American Mathematical Society, 2013.

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New developments in Lie theory and its applications: Seventh workshop in Lie theory and its applications, November 26-December 1, 2000, Cordoba, Argentina. Providence, R.I: American Mathematical Society, 2011.

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