On multilinear components of prime subvarieties in the variety Var(M1,1)

被引：0

作者：

L. M. Samoilov

机构：

[1] Ulyanovsk State University,

来源：

Mathematical Notes | 2010年 / 87卷

关键词：

prime subvariety; matrix superalgebra; multilinear identities; variety of associative algebras; Grassmann algebra; prime variety;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let M1,1 be the matrix superalgebra over an infinite field of positive characteristic p ≠ 2. Multilinear identities of prime subvarieties in the variety Var M1,1 are described. It is shown that the set of multilinear identities of any prime subvariety in the variety Var M1,1 either coincides with the set of multilinear identities of the algebra M1,1 or is generated by the identity [x, y, z] = 0 or is generated by the identity [x, y] = 0.

引用

页码：890 / 902

页数：12