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On Almost J - injectivity and J –Regularity of Rings | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 18, Issue 3, 2013, Pages 206-210 | ||
| Author | ||
| Raida Dawood Mahmood | ||
| Abstract | ||
| As a generalization of right J- injective rings , we introduce the notion of right almost J-injective rings , that is if for any , there exists a left ideal of R such that . In this paper , we give some characterizations and properties of almost J-injective rings and it is show that R is J-regular if and only if R is a right almost J-injective and JPP ring . We also prove that , if R is right quasi duo , then R is J-regular if and only if every simple right R-module is almost J-injective . | ||
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