Matrix rings with summand intersection property

被引：8

作者：

Karabacak, F ^{[1
]}

Tercan, A

机构：

[1] Anadolu Univ, Fac Educ, Dept Math, TR-26470 Eskisehir, Turkey

[2] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2003年 / 53卷 / 03期

关键词：

modules; summand intersection property; Morita invariant;

D O I：

10.1023/B:CMAJ.0000024507.03939.ce

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A ring R has right SIP (SSP) if the intersection (sum) of two direct summands of R is also a direct summand. We show that the right SIP (SSP) is the Morita invariant property. We also prove that the trivial extension of R by M has SIP if and only if R has SIP and (1 - e)Me = 0 for every idempotent e in R. Moreover, we give necessary and sufficient conditions for the generalized upper triangular matrix rings to have SIP.

引用

页码：621 / 626

页数：6

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