Graded identities of group algebras

被引：6

作者：

Sehgal, SK ^{[1
]}

Zaicev, MV

机构：

[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

[2] Moscow MV Lomonosov State Univ, Dept Math & Mech, Dept Algebra, Moscow 119899, Russia

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 01期

关键词：

D O I：

10.1081/AGB-120006505

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a normal subgroup of G. Then the group algebra A = FG can be naturally graded by G/H where the homogeneous components are cosets. We prove that if A satisfies a G/H-graded identity than it also satisfies an ordinary polynomial identity under the assumption that [G : H] is finite.

引用

页码：489 / 505

页数：17

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