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On test modules for injectivity
Mathematical Journal of Okayama University, 1998A module \(Q\) is \(M\)-injective if every homomorphism of any submodule \(N\) of \(M\) into \(Q\) can be extended to a homomorphism of \(M\) into \(Q\). Some extensions and generalizations of well-known results and characterizations of \(M\)-injectivity are found in this paper.
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Quasi-Injective and Pseudo-Infective Modules
Canadian Mathematical Bulletin, 1975Let R be a ring with identity not equal to zero. A right R-module is said to be quasi-injective (pseudo-injective) if for every submodule N of M, every R-homomorphism (R-monomorphism) of N into M can be extended to an R-endomorphism of M [7] ([13]).
Jain, S. K., Singh, Surjeet
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The American Mathematical Monthly, 1973
(1973). On Injective Modules. The American Mathematical Monthly: Vol. 80, No. 3, pp. 297-298.
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(1973). On Injective Modules. The American Mathematical Monthly: Vol. 80, No. 3, pp. 297-298.
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Injective Modules over Pullbacks
Journal of the London Mathematical Society, 1985FACCHINI, ALBERTO, P. VAMOS
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Injective module and C1-module
AIP Conference Proceedings, 2022Abdulsalam F. Talak, Majid Mohammed Abed
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Rings and modules which are stable under automorphisms of their injective hulls
Journal of Algebra, 2013Ashish Srivastava +2 more
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