ALGEBRAS FOR WHICH EVERY INDECOMPOSABLE RIGHT MODULE IS INVARIANT IN ITS INJECTIVE ENVELOPE

被引：40

作者：

DICKSON, SE

FULLER, KR

机构：

[1] The University of Southern California, Iowa state university

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1969年 / 31卷 / 03期

关键词：

D O I：

10.2140/pjm.1969.31.655

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The algebras of the title are characterized as those having Tachikawa’s strong left cyclic representation type (SLCRT) with the further property that every quotient of a principal indecomposable left module has square free socle. Moreover it turns out that these are precisely the algebras for which every indecomposable right module is quasi-injective in the sense of Johnson and Wong, and that these algebras have finite module type. © 1969 by Pacific Journal of Mathematics.

引用

页码：655 / &