On multilinear components of prime subvarieties in the variety Var(M 1,1) (original) (raw)

Mathematical Notes, 2010

Abstract

Let M 1,1 be the matrix superalgebra over an infinite field of positive characteristic p ≠ 2. Multilinear identities of prime subvarieties in the variety Var M 1,1 are described. It is shown that the set of multilinear identities of any prime subvariety in the variety Var M 1,1 either coincides with the set of multilinear identities of the algebra M 1,1 or is generated by the identity [x, y, z] = 0 or is generated by the identity [x, y] = 0.

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