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Injective Modules Relative To a Preradical | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 16, Issue 3, 2016, Pages 1-15 PDF (0 K) | ||
| Author | ||
| Akeel Ramadan Mehdi | ||
| Abstract | ||
| The concept ofߩ-injective modules (where ߩ is a preradical) is introduced in this work as a generalization of injective modules. The definition of ߩ-injectivity unifies several definitions on generalizations of injectivity such as nearly injective modules and special injective modules. Many characterizations and properties of ߩ-injectivity are given. We study the endomorphisms rings of ߩ-injective modules. The results of this work unify and extend many results in the literature. | ||
| Keywords | ||
| Injective modules; nearly; injective modules; preradical; endomorphisms ring | ||
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