Group Actions on Quasi-Baer Rings

被引：12

作者：

Jin, Hai Lan ^{[1
]}

Doh, Jaekyung ^{[2
]}

Park, Jae Keol ^{[2
]}

机构：

[1] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China

[2] Busan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2009年 / 52卷 / 04期

关键词：

(quasi-) Baer ring; fixed ring; skew group ring; C*-algebra; local multiplier algebra; QUOTIENT-RINGS; IDEALS; AUTOMORPHISMS; MULTIPLIERS; EXTENSIONS; MODULES;

D O I：

10.4153/CMB-2009-057-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R is called quasi-Baer if the right annihilator of every right ideal of R is generated by an idempotent as a right ideal. We investigate the quasi-Baer property of skew group rings and fixed rings under a finite group action on a semprime ring and their applications to C*-algebras. Various examples to illustrate and delimit our results are provided.

引用

页码：564 / 582

页数：19

共 46 条

[1]

AMITSUR SA, 1972, S MATH, V8, P149

[2] ON THE SYMMETRICAL ALGEBRA OF QUOTIENTS OF A C-STAR-ALGEBRA [J].

ARA, P .

GLASGOW MATHEMATICAL JOURNAL, 1990, 32 :377-379

[3] AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C-ASTERISK-ALGEBRAS [J].

ARA, P ;

MATHIEU, M .

QUARTERLY JOURNAL OF MATHEMATICS, 1993, 44 (174) :129-138

[4] THE EXTENDED CENTROID OF C-STAR-ALGEBRAS [J].

ARA, P .

ARCHIV DER MATHEMATIK, 1990, 54 (04) :358-364

[5] A LOCAL VERSION OF THE DAUNS-HOFMANN THEOREM [J].

ARA, P ;

MATHIEU, M .

MATHEMATISCHE ZEITSCHRIFT, 1991, 208 (03) :349-353

[6]

Ara P., 2003, SPRINGER MG MATH

[7]

Armendariz E. P., 1974, J AUSTR MATH SOC, V18, P470

[8]

BERGMAN GM, 1973, P LOND MATH SOC, V27, P69

[9] Ring hulls and applications [J].

Birkenmeier, Gary F. ;

Park, Jae Keol ;

Rizvi, S. Tariq .

JOURNAL OF ALGEBRA, 2006, 304 (02) :633-665

[10] Triangular matrix representations [J].

Birkenmeier, GF ;

Heatherly, HE ;

Kim, JY ;

Park, JK .

JOURNAL OF ALGEBRA, 2000, 230 (02) :558-595

← 1 2 3 4 5 →