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.

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