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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On multiplication algebras


Author: David R. Finston
Journal: Trans. Amer. Math. Soc. 293 (1986), 807-818
MSC: Primary 17A99; Secondary 16A99
DOI: https://doi.org/10.1090/S0002-9947-1986-0816327-2
MathSciNet review: 816327
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1986-0816327-2
Article copyright: © Copyright 1986 American Mathematical Society