Document Zbl 1113.16008

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Zhu, Zhanmin

On general quasi-principally injective modules. (English) Zbl 1113.16008

Southeast Asian Bull. Math. 30, No. 2, 391-397 (2006).

Summary: Let \(R\) be a ring and \(M\) a right \(R\)-module with \(S=\text{end}(M_R)\). Then \(M\) is called general quasi-injective (briefly GQP-injective) if for any \(0\neq s\in S\), there exists a positive integer \(n\) such that \(s^n\neq 0\) and any \(R\)-homomorphism of \(s^nM\) into \(M\) extends to an endomorphism of \(M\). Some characterizations and properties of GQP-injective modules are given. Some results on quasi p-injective modules are generalized to GQP-injective modules.

Cited in 1 Document

MSC:

16D50

Injective modules, self-injective associative rings

Keywords:

general quasi-injective modules; GQP-injective modules; quasi p-injective modules

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