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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Algebras satisfying congruence relations


Authors: Raymond Coughlin, Michael Rich and Armin Thedy
Journal: Proc. Amer. Math. Soc. 51 (1975), 263-269
MSC: Primary 17AXX
DOI: https://doi.org/10.1090/S0002-9939-1975-0374200-9
MathSciNet review: 0374200
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Abstract: It is shown that the classical nonassociative algebras which have an identity element can be defined in terms of congruence relations modulo the base field.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0374200-9
Keywords: Alternative algebra, strongly alternative algebra, Jordan algebra, noncommutative Jordan algebra, flexible, Jordan-admissible
Article copyright: © Copyright 1975 American Mathematical Society