Graded polynomial identities as identities of universal algebras
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DOI: 10.1016/j.laa.2018.10.006
Abstract: Abstract Let A and B be finite-dimensional simple algebras with arbitrary signature over an algebraically closed field. Suppose A and B are graded by a semigroup S so that the graded identical relations of A… read more here.
Keywords: identities identities; polynomial identities; universal algebras; graded polynomial ... See more keywords
Polynomial identities of bicommutative algebras, Lie and Jordan elements
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1461890
Abstract: ABSTRACT An algebra with identities a(bc) = b(ac), (ab)c = (ac)b is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for elements of a free bicommutative… read more here.
Keywords: polynomial identities; identities bicommutative; jordan elements; algebras lie ... See more keywords