Mutually Essentially Pseudo-injective Modules

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 → M can be extended to some g ∈ H o m ( N , M ) . M is called essentially pseudo-injective if M is essentially pseudo M -injective. Basic properties of mutually esse...

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2016-04, Vol.39 (2), p.795-803
Main Authors: Quynh, Truong Cong, Hai, Phan The, Van Thuyet, Le
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Modules
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Summary: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 → M can be extended to some g ∈ H o m ( 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.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-015-0299-6