Actions of inverse semigroups on algebras

被引：11

作者：

Bagio, Dirceu ^{[2
]}

Cortes, Wagner ^{[1
]}

Ferrero, Miguel ^{[1
]}

Paques, Antonio ^{[1
]}

机构：

[1] Univ Fed Rio Grande do Sul, Inst Math, BR-91509900 Porto Alegre, RS, Brazil

[2] Univ Fed Santa Maria, Dept Math, BR-97119900 Santa Maria, RS, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 12期

关键词：

inverse semigroup; partial action; weakly galois extension;

D O I：

10.1080/00927870701511905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove that if S is a faithfully projective R-algebra and H is a finite inverse semigroup acting on S as R-linear maps such that the fixed sabring S-H = R, then any partial isomorphism between ideals of S which are generated by central idempotents can he obtained as restriction of an R-automorphism of S and there exists a finite subgroup of automorphisms G of S with S-G = R.

引用

页码：3865 / 3874

页数：10

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