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标题：AGQP-Injective Modules
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作者：Zhanmin Zhu ; Xiaoxiang Zhang
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/469725
出版社：Hindawi Publishing Corporation
摘要：Let 𝑅 be a ring and let 𝑀 be a right 𝑅-module with 𝑆 = End(𝑀𝑅). 𝑀 is called almost general quasi-principally injective (or AGQP-injective for short) if, for any 0≠𝑠∈𝑆, there exist a positive integer 𝑛 and a left ideal 𝑋𝑠𝑛 of 𝑆 such that 𝑠𝑛≠0 and 𝐥𝑆(Ker(𝑠𝑛))=𝑆𝑠𝑛⊕𝑋𝑠𝑛. Some characterizations and properties of AGQP-injective modules are given, and some properties of AGQP-injective modules with additional conditions are studied.