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

被引：0

作者：

Samoilov, L. M. ^{[1
]}

机构：

[1] Ulyanovsk State Univ, Ulyanovsk, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 87卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

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

D O I：

10.1134/S0001434610050299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M (1,1) be the matrix superalgebra over an infinite field of positive characteristic p not equal 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.

引用

页码：890 / 902

页数：13