Abstract
Let M and N be two modules. M is called essentially pseudo N-injective if for any essential submodule A of N, any monomorphism \(f : A \rightarrow M\) can be extended to some \(g \in Hom(N, M)\). M is called essentially pseudo-injective if M is essentially pseudo M-injective. Basic properties of mutually essentially pseudo-injective modules and essentially pseudo-injective modules are proved and their connections with pseudo-injective modules are addressed.
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Communicated by V. Ravichandran.
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Quynh, T.C., Hai, P.T. & Van Thuyet, L. Mutually Essentially Pseudo-injective Modules. Bull. Malays. Math. Sci. Soc. 39, 795–803 (2016). https://doi.org/10.1007/s40840-015-0299-6
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DOI: https://doi.org/10.1007/s40840-015-0299-6