Generalizations of principally quasi-injective modules and quasiprincipally injective modules
Let R be a ring and M a right R-module with S=End(MR). The module M is called almost principally quasi-injective (or APQ-injective for short) if, for any m∈M, there exists an S-submodule Xm of M such that lMrR(m)=Sm⊕Xm. The module M is called almost quasiprincipally injective (or AQP-injective for s...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1853 |