Results 11 to 20 of about 41,015 (284)
Strongly Uniform Extending Modules [PDF]
Al-Mustansiriyah Journal of Science, 2018 In this paper, we introduced and studied the concept of strongly uniform extending modules, An R-module M is called strongly uniform extending (or M has (1-SC1) condition) if every uniform submodule of M is essential in a stable (fully invariant) direct ...
Saad Abdulkadhim Al-Saadi +1 more
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On Generalizations of Extending Modules [PDF]
Kyungpook mathematical journal, 2009 A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending.
Karabacak, F.
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Journal of Pure and Applied Algebra, 1995 AbstractAn R-module M is called ∑-extending if every coproduct of copies of M is extending, i.e. closed submodules are direct summands.Oshiro (1984) has shown that the ring R is ∑-extending as a left module if and only if the class of projective R->modules is closed under essential extensions.
Clark, John, Wisbauer, Robert
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Outer Generalizations of Extending Modules
, 2016 Chapter 5 treats generalized forms of extending modules which are not included in the previous chapter. Specifically, we consider generalized extending forms based on technical machinery conditions like existence of a homomorphism into a direct summand or an equivalence relation on the lattice of submodules etc. (so-called outer generalization).
Tercan, A, Yücel, Canan Celep
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Rings whose modules are direct sums of extending modules [PDF]
Proceedings of the American Mathematical Society, 2009 In the main result of the paper the author shows for a ring \(R\) that every right \(R\)-module is a direct sum of extending modules if and only if \(R\) has finite type and right colocal type. Moreover, in this case \(R\) is Artinian and right serial, and every right \(R\)-module is a direct sum of uniform modules (Theorem 1).
ER, NOYAN FEVZİ
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Strongly C_11-Condition Modules and Strongly T_11-Type Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 In this paper, we introduced module that satisfying strongly -condition modules and strongly -type modules as generalizations of t-extending.
Inaam M A Hadi, Farhan D Shyaa
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On generalized FI-extending modules
, 2020 Summary: A module \(M\) is called \textit{FI-extending} if every fully invariant submodule of \(M\) is essential in a direct summand of \(M\). In this work, we define a module \(M\) to be \textit{generalized FI-extending (GFI-extending)} if for any fully invariant submodule \(N\) of \(M\), there exists a direct summand \(D\) of \(M\) such that \(N \leq
Yücel, Canan Celep
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Tamkang Journal of Mathematics, 2017 Let $M$ be a right $R$-module and $S=End_R(M)$. We call $M$ a $\mathcal{K}$-extending module if for every element $\phi\in S$, Ker$\phi$ is essential in a direct summand of $M$. In this paper we investigate these modules. We give a characterization of $\mathcal{K}$-extending modules.
Tayyebeh Amouzegar
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On Extending Scott Modules [PDF]
, 2017 We study a variety of questions related to the Scott modules S(G,Q) associated to a finite group G, where Q denotes a p-subgroup of G for a given prime p. The main concept we study is that of a p-extendible group, which we define to be a group in which the dimension of S(G,Q) is minimal for all p-subgroups Q of G. We study those
Gullon, Alec, Mazza, Nadia
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International Electronic Journal of Algebra, 2020 Summary: Here we introduce and study the concept of relative superfluous injectivity, which is a generalization of relative injectivity. We show some of the properties that hold true for relative injectivity still hold for relative superfluous injectivity. We also introduce and characterize the new concept of superfluous extending modules.
TABARAK, Manar E. +3 more
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