CENTERS OF REGULAR SELF-INJECTIVE RINGS

被引：0

作者：

TYUKAVKIN, DV

机构：

[1] Department of Mathematics and Mechanics, Moscow State University

来源：

JOURNAL OF ALGEBRA | 1995年 / 172卷 / 03期

关键词：

D O I：

10.1006/jabr.1995.1073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the article is to prove that for any regular right self-injective ring R the center of any factor ring of R is a factor ring of the center of R. It is also proved that the extended centroid of any prime factor ring of R is equal to center of this factor ring. (C) 1995 academic Press, Inc.

引用

页码：830 / 835

页数：6

共 7 条

[1] CENTERS OF MAXIMAL QUOTIENT-RINGS
ARA, P
[J]. ARCHIV DER MATHEMATIK, 1988, 50 (04) : 342 - 347
[2] COMPRESSIBLE GROUP-ALGEBRAS
ARMENDARIZ, EP
KOO, HK
PARK, JK
[J]. COMMUNICATIONS IN ALGEBRA, 1985, 13 (08) : 1763 - 1777
[3] BEIDAR CI, 1977, VESTNIK MOSKOV U 1, V2, P19
[4] THE CENTER OF A CORNER OF A RING
BERBERIAN, SK
[J]. JOURNAL OF ALGEBRA, 1981, 71 (02) : 515 - 523
[5] CENTERS OF REGULAR SELF-INJECTIVE RINGS
GOODEARL, KR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1978, 76 (02) : 381 - 395
[6] VONNEUMANN ARITHMETICS FOR INJECTIVE-FACTORS
JEREMY, L
[J]. JOURNAL OF ALGEBRA, 1980, 62 (01) : 154 - 169
[7] THE STRUCTURE OF THE INFINITE GENERAL LINEAR GROUP
ROSENBERG, A
[J]. ANNALS OF MATHEMATICS, 1958, 68 (02) : 278 - 294

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