ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS-Reference-Cited by-同舟云学术

ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS

Published:2007-02 Issue:01 Volume:06 Page:119-134
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

KOLESNIKOV PAVEL¹²

Affiliation:

1. Sobolev Institute of Mathematics, Akad. Koptyug Prosp, 4 Novosibirsk, 630090, Russia

2. Korea Institute for Advanced Study, 207-43, Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130722, Republic of Korea

Abstract

We investigate an analogue of the Wedderburn principal theorem for associative conformal algebras with finite faithful representations. It is shown that the radical splitting property for an algebra of this kind holds if the maximal semisimple factor of this algebra is unital, but does not hold in general.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498807002120

Reference25 articles.

1. On Maximally Central Algebras

2. The Wedderburn principal theorem in Banach algebras

3. J. A. Wehlen, Rings, Extensions, and Cohomology, Lecture Notes in Pure and Appl. Math. 159 (Dekker, New York, 1994) pp. 223–240.

4. Raising idempotents

5. The Wedderburn Principal Theorem For Jordan Algebras

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cohomology of Associative H -Pseudoalgebras;Algebra Colloquium;2023-11-28

2. On universal conformal envelopes for quadratic Lie conformal algebras;Communications in Algebra;2023-08-23

3. Faithful Representations of Finite Type for Conformal Lie Algebras;Algebra and Logic;2023-07

4. The N-structure on bimodules over associative conformal algebras;Communications in Algebra;2023-02-21

5. Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-01-09