Results 41 to 50 of about 607,054 (303)
Neutrosophic projective G-submodules [PDF]
Neutrosophic Sets and Systems, 2020 A significant area of module theory is the concept of free modules, projective modules and injective modules. The goal of this study is to characterize the projective G-modules under a single-valued neutrosophic set.
Binu R., P. Isaac
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FCP投射模与某些环(FCP-projective modules and some rings)
Zhejiang Daxue xuebao. Lixue ban, 2010 Let R be a ring. A module MR is called FCP-projective if for every finitely corelated right R-module A. A ring R is called right co-coherent if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is finitely ...
ZHUZhan-min(朱占敏) +1 more
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, 2009 An R-Module Q is injective if for every exact sequence and every R-Module homomorphism lifts to R-Module homomorphism , and also Q is a direct summand of M and every short exact sequence ...
Putri Indah Permata Sari, Desy
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Epis and monos which must be isos
International Journal of Mathematics and Mathematical Sciences, 1984 Orzech [1] has shown that every surjective endomorphism of a noetherian module is an isomorphism. Here we prove analogous results for injective endomorphisms of noetherian injective modules, and the duals of these results.
David J. Fieldhouse
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On injective and divisible modules [PDF]
Arabian Journal of Mathematics, 2012 The author studies generalizations of injective and divisible modules. For a nonempty collection \(\mathfrak A\) of submodules of an \(R\)-module \(M\), the author defines an \(\mathfrak A\)-\(M\)-injective module and gets a characterization for a submodule \(M\) of a projective module \(P\) to be projective in terms of \(\{M\}\)-\(P\)-injective ...
openaire +1 more source
On subinjectivity domains of RD-injective modules
, 2022 The subjectivity domain of a module allows us to evaluate how close (or far) a module is from being injective. In this paper, we consider three families of rings characterized by their RD-injective left R-modules via the subinjective domain: those whose ...
Durgun, Yilmaz
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On np-injective rings and Modules
, 2023 A given R-module is called a right np-injective module if for any non-nilpotent element of , and any right R-homomorphism can be extended to , if is np-injective, then is a right np-injective ring.
Abdul-Jabbar, Abdullah M. +1 more
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, 2021 Let R be a ring with identity and M be a left R-module. The module M is called strongly injective if whenever M+ K= N with M? N, there exists a submodule K? of K such that M?K?=N.
Türkmen B.N., Türkmen E.
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MathematicsIn this paper, we introduce the concept of ps-injective modules, which plays a key role in our approach. We develop the various properties of these modules.
Ergül Türkmen +2 more
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Relative injectivity and CS-modules
International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we show that a direct decomposition of modules M⊕N, with N homologically independent to the injective hull of M, is a CS-module if and only if N is injective relative to M and both of M and N are CS-modules. As an application, we prove that
Mahmoud Ahmed Kamal
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