AGQP-Injective Modules

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 proper...

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Bibliographic Details
Main Authors: Zhanmin Zhu, Xiaoxiang Zhang
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/469725
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