期刊目錄列表 - 31~41期(1986-1996) - 第三十二期 (1987)

談擬入射模 作者:陳冒海(國立臺灣師範大學數學系)

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。

《詳全文》

Journal directory listing - Volume 31-41 (1986-1996) - Volume 32 (1987)

Some Remarks on Quasi-Injective Modules Author: Cheng Mau-Hai

Abstract:

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.