Results 51 to 60 of about 4,721 (79)
Let R be a commutative ring with identity and M be a unitary R-module. A proper submodule N of M is 2− absorbing if r1, r2, r3 ∈ R, m ∈ M with r1r2r3m ∈ M implies r1r2m ∈ N or r1r3m ∈ N or r2r3m ∈ N. Let ϕ : S(M) −→ S(M) ∪ {ø} be a function where S(M)
A. Khaksari∗, A. Jafari
core
The Unique Maximal GF-Regular Submodule of a Module
An R-module A is called GF-regular if, for each a∈A and r∈R, there exist t∈R and a positive integer n such that rntrna=rna. We proved that each unitary R-module A contains a unique maximal GF-regular submodule, which we denoted by MGF(A).
Areej M. Abduldaim, Sheng Chen
core +1 more source
On the Category of Weakly Laskerian Cofinite Modules
Let $R$ denote a commutative Noetherian (not necessarily local) ring and $I$ be an ideal of $R$. The main purpose of this note is to show that the category $\mathscr{WL}(R, I)_{\it cof}$ of $I$-cofinite weakly Laskerian $R$-modules forms an Abelian ...
Bahmanpour, Kamal
core
Atlas Tile Calorimeter submodule 00 gluing
Atlas Tile Calorimeter submodule 00 gluing ...
CERN, photos
core
Atlas Tile calorimeter submodule 00 cleaning
Atlas Tle Calorimeter submodule 00 absorber cleaning operations before ...
CERN, photos
core
A Submodule-Based Zero Divisor Graph for Modules
Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Gamma(M). In this study, we are going to generalize the zero divisor graph Gamma(M) to submodule-based zero divisor graph Gamma(M, N) by replacing ...
Payrovi, Shiroyeh +2 more
core
Some of the next articles are maybe not open access.
Modules with small cofinite irreducibles, cyclic submodules and duality
Communications in Algebra, 1997In this paper, we explore the relation between small cofinite irreducibles and cyclic submodules in the dual. As an application, we show that an Artinian module over a Noetherian local ring is the finite sum of submodules Ci, each of which has the property that every finitely generated submodule is contained in a cyclic submodule.
E. W. Johnson +2 more
openaire +1 more source
Modules whose cofinite closed submodules have weak Rad-supplements
Asian-European Journal of MathematicsIn this paper, we study cofinitely closed weak Rad-supplemented modules (abbreviated as [Formula: see text] modules) serving as proper generalization encompassing the weak Rad-supplemented modules (abbreviated as [Formula: see text] modules) and closed weak Rad-supplemented modules (abbreviated as [Formula: see text] modules).
null Meyibenla, M. K. Patel
openaire +1 more source
Cofiniteness of torsion functors of a pair of cofinite modules (II)
Communications in Algebra, 2023Kamal Bahmanpour
exaly
Cofiniteness of torsion functors of a pair of cofinite modules
Communications in Algebra, 2021Kamal Bahmanpour
exaly

