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arXiv · math/9802043

Group algebras and enveloping algebras with nonmatrix and semigroup identities

David M. Riley·Mark C. Wilson
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Abstract

Let K be a field of positive characteristic p, let R be either a group algebra K[G] or a restricted enveloping algebra u(L), and let I be the augmentation ideal of R. We first characterize those R for which I satisfies a polynomial identity not satisfied by the algebra of all 2-by-2 matrices over K. Then we examine those R for which I satisfies a semigroup identity (that is, a polynomial identity which can be written as the difference of two monomials).

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BibTeXRIS

David M. Riley, Mark C. Wilson. 1998-02-08. Group algebras and enveloping algebras with nonmatrix and semigroup identities. https://doi.org/10.1080/00927879908826645

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