第三十二期
/
1987 / 1
/
pp. 375 - 379
談擬入射模
Some Remarks on Quasi-Injective Modules
38
作者
陳冒海 *
(國立臺灣師範大學數學系)
陳冒海 *
國立臺灣師範大學數學系
中文摘要

本文主要在討論擬入射模與其扭元素之集合間的關係。

英文摘要

The purpose of this paper is to give some supplementary remarks of the previous work [1] by the author. The nota-tions and terminologies are referred to [1]. We shall prove that for any quasi-injective R-module M, (i) if R is not a domain, then either TR(M)(TR(M))=M or TR(M)=(TR(M)) C (TR(M))=M; (ii) if R is a domain, then either TR(M)((TR(M))=M or TR(M)=(R(M)) is a proper direct summand of M.