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Proceedings of the American Mathematical Society

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

 

 

Irreducible polynomial identities in anticommutative algebras


Authors: Seymour Kass and William G. Witthoft
Journal: Proc. Amer. Math. Soc. 26 (1970), 1-9
MSC: Primary 17.60
DOI: https://doi.org/10.1090/S0002-9939-1970-0260818-6
MathSciNet review: 0260818
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Abstract: The methods introduced by J. M. Osborn for isolating those polynomial identities worth studying in commutative algebras are here modified to yield three theorems for anticommutative algebras. The first establishes a practical criterion for the irreducibility of polynomial identities; the others list all canonical polynomials of low degree that are irreducible relative to anticommutativity.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0260818-6
Keywords: Nonassociative algebras, anticommutative algebras, irreducible polynomial identities, free nonassociative algebra, linearization
Article copyright: © Copyright 1970 American Mathematical Society