On maxi-quasiprojective modules

Journal of the Australian Mathematical Society

Manabu Harada¹ 

关键词: 16 A 36;   

DOI  :  10.1017/S1446788700027051

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We have defined a mini-injective module and given some structures of self mini-injective rings and certain relationships between such rings and QF-rings in [8] and [9].In this short note we shall study the modules dual to mini-injective modules, which we call maxi-quasiprojective modules. We shall give a characterization and some structures, in terms of the above modules, of those rings whose every injective modules has the lifting property of direct decompositions modulo the Jacobian radical (see [5], [6] and [7]). Furthermore, we shall show that the above rings are closely related to QF-rings (see [8] and [9]).

【 授权许可】

Unknown