Group Algebras and Enveloping Algebras with Nonmatrix and Semigroup Identities
نویسندگان
چکیده
Let K be a field of characteristic p > 0. Denote by ω(R) the augmentation ideal of either a group algebra R = K[G] or a restricted enveloping algebra R = u(L) over K. We first characterize those R for which ω(R) satisfies a polynomial identity not satisfied by the algebra of all 2× 2 matrices over K. Then, we examine those R for which ω(R) satisfies a semigroup identity (that is, a polynomial identity which can be written as the difference of two monomials).
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تاریخ انتشار 1998