On multiplication algebras-Reference-Cited by-同舟云学术

On multiplication algebras

Published:1986 Issue:2 Volume:293 Page:807-818
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Finston David R.

Abstract

The basic properties of multiplication algebras of nonassociative algebras over rings are introduced, including a discussion of multiplication algebras of tensor products of algebras. A characterization of semisimple artinian multiplication algebras is given along with a discussion of the nature of the simple factors of a multiplication algebra modulo its Jacobson radical. A criterion distinguishing the multiplication algebras of certain associative algebras is proved. Examples are included to illustrate certain proved results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-293-02/S0002-9947-1986-0816327-2/S0002-9947-1986-0816327-2.pdf

Reference9 articles.

1. The radical of a non-associative algebra;Albert, A. A.;Bull. Amer. Math. Soc.,1942

2. Scott M. Farrand, The multiplication algebra of a nonassociative algebra, Thesis, U.C.S.D., 1981.

3. S. M. Farrand and D. R. Finston, The multiplication algebra and multiplication ideal of an algebra without nilpotent elements, manuscript.

4. D. R. Finston, The algebra of polynomial functions on a nonassociative algebra, Thesis, U.C.S.D., 1983.

5. Carus Mathematical Monographs;Herstein, I. N.,1994

Cited by 11 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. Reduced Pre-Lie Algebraic Structures, the Weak and Weakly Deformed Balinsky–Novikov Type Symmetry Algebras and Related Hamiltonian Operators;Symmetry;2018-11-06

2. ε-Complemented algebras;Journal of Algebra;2012-01

3. π-Complemented Algebras Through Pseudocomplemented Lattices;Order;2011-05-05

4. Algebras whose multiplication algebra is semiprime. A decomposition theorem;Journal of Algebra;2008-02

5. Multiplicative-Semiprimeness of Nondegenerate Jordan Algebras;Communications in Algebra;2004-12-31