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
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.
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页码:489 / 505
页数:17
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