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引用次数: 1
摘要
摘要作为伪注入性的适当推广，我们引入并研究了gs-伪注入模。如果从soc (N) soc (RR)的子模到M的每一个R -单态扩展到N，则称环R上的右模M是gs-伪- N -内射(其中N是一个右R -模)，如果M是gs-伪-M-内射，则称模M是gs-伪- N -内射。我们得到了这些模块的各种表征和性质。将拟注入性的一些结果推广到gs-拟注入性。
Abstract As a proper generalization of pseudo-injectivity, we introduce and investigate gs-pseudo-injective modules. A right module M over a ring R is said to be gs-pseudo- N -injective (where N is a right R -module) if every R -monomorphism from a submodule of soc ( N ) soc ( RR ) into M extends to N. A module M is said to be gs-pseudo-injective, if M is gs-pseudo-M-injective. We obtain various characterizations and properties of these modules. Some results on pseudo-injectivity are extended to gs-pseudo-injectivity.
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