JP Journal of Algebra, Number Theory and Applications
Volume 24, Issue 1, Pages 61 - 71
(February 2012)
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A WEAKER FORM OF PSEUDO-INJECTIVE MODULES
Samruam Baupradist and Suphawat Asawasamrit
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Abstract: For a given right R-module M, a right R-module N is called a pseudo-M-c-injective module if every monomorphism from a closed submodule of M to N can be extended to a homomorphism from M to N. We develop, in this paper, pseudo-c-injectivity as a generalization of c-injectivity. We give several properties of pseudo-M-c-injective module and quasi-pseudo-c-injective module. Beside surveying several properties of pseudo-M-c-injective modules, we find out some relations of quasi-pseudo-c-injectivity with some notation such as CS-modules, uniform modules. |
Keywords and phrases: pseudo-M-c-injective modules, quasi-pseudo-c-injective modules, right self-pseudo-c-injective rings. |
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