PARTIAL ACTIONS AND PARTIAL FIXED RINGS

被引：6

作者：

Avila, Jesus ^{[2
]}

Ferrero, Miguel ^{[3
]}

Lazzarin, Joao ^{[1
]}

机构：

[1] Univ Fed Santa Maria, Dept Matemat, BR-97105900 Santa Maria, RS, Brazil

[2] Univ Tolima, Dept Matemat & Estadist, Ibague, Colombia

[3] Univ Fed Rio Grande do Sul, Inst Matemat, Porto Alegre, RS, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 06期

关键词：

Enveloping action; Fixed subring; Partial actions; Prime and Jacobson radical; Semisimplicity;

D O I：

10.1080/00927870903023139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider a partial action alpha of a finite group G on a ring R which possesses an enveloping action. Properties of the fixed subring R-alpha are studied. Among other results, under some assumptions, we describe the prime radical, the Jacobson radical, and the upper nil radical. We also study semisimplicity, von Newmann regularity, and Goldie conditions.

引用

页码：2079 / 2091

页数：13

共 7 条

[1] Associativity of crossed products by partial actions, enveloping actions and partial representations [J].

Dokuchaev, M ;

Exel, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (05) :1931-1952

[2] Partial actions and Galois theory [J].

Dokuchaev, Michael ;

Ferrero, Miguel ;

Paques, Antonio .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 208 (01) :77-87

[3] Partial actions and partial skew group rings [J].

Feffero, Miguel ;

Lazzarin, Joao .

JOURNAL OF ALGEBRA, 2008, 319 (12) :5247-5264

[4]

Lam T. Y, 2001, Graduate Text in Mathematics, V131

[5]

MCCONNEL JC, 1988, SERIES PURE APPL MAT

[6]

Montgomery S., 1980, LECT NOTES MATH, V818

[7]

Passman D. S., 1989, INFINITE CROSSED PRO

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