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題名 | Some Remarks on Quasi-Injective Modules=談擬入射模 |
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作者姓名(中文) | 陳冒海; |
作者姓名(外文) | |
書刊名 | 師大學報 |
卷期 | 32 1987.06[民76.06] |
頁次 | 頁375-379 |
分類號 | 310 |
語文 | eng |
關鍵詞 | 擬入射模; |
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. |
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