Results 21 to 30 of about 872,085 (220)
weakly supplement extending modules
Al-Mustansiriyah Journal of Science, 2020 In this paper, the extending property of modules is generalized by using weakly supplement submodules. We call a module M is weakly supplement extending if each submodule of M is essential in a weakly supplement submodule of M.
Saad A. Al-Saadi, aya adnan musa
doaj +2 more sources
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
openaire +5 more sources
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
openaire +3 more sources
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
openaire +4 more sources
The group of endotrivial modules in the normal case. [PDF]
, 2007 The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial ...
Mazza, Nadia
core +5 more sources
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
openaire +3 more sources
Extending modules relative to module classes [PDF]
, 1997 The purpose of this study is to give an up-to-date presentation of known and new results on extending modules and related notions with respect to an R-module class X. By assuming basic facts from Module Theory, our treatment is essentially self-contained.
Dogruoz, Semra
core +7 more sources
On $\tau$-extending modules [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2016 Summary: In this paper, we introduce the concept of \(\tau\)-extending modules by \(\tau\)-rational submodules and study some properties of such modules. It is shown that the set of all \(\tau\)-rational left ideals of \(_RR\) is a Gabriel filter. An \(R\)-module \(M\) is called \(\tau\)-extending if every submodule of \(M\) is \(\tau\)-rational in a ...
Talebi, Y., Mohammadi, R.
openaire +2 more sources
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
openaire +4 more sources
Polytechnic and design, 2015 The purpose of this article is to show how to extend PHP and build modules. Since PHP is built mostly with C, one must be familiar with C or at least with some programming constructs like variables, loops, structures, unions, macros etc. PHP modules are built when standard PHP abilities doesn’t fit developer’s needs and when a developer wants to create
Lozić, Davor, Šimec, Alen
openaire +5 more sources