Results 71 to 80 of about 101 (90)

Resolvability in complement of the intersection graph of annihilator submodules of a module

2020
Summary: Let \(R\) be a commutative ring and \(M\) be an \(R\)-module. The intersection graph of annihilator submodules of \(M\), denoted by \(GA(M)\), is a simple undirected graph whose vertices are the classes of elements of \(Z(M)\setminus \mathrm{Ann}_R(M)\) and two distinct classes \([a]\) and \([b]\) are adjacent if and only if \(\mathrm{Ann}_M(a)
Payrovi, Sh., Pejman, S. B., Babaei, S.
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Modules whose submodules are annihilators

Discrete Mathematics and Applications, 2012
In this paper we investigate the comultiplication modules over not necessarily commutative rings. This research was supported by the Russian Foundation for Basic Research, grant 08-01- 00693a.
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Annihilating submodule graphs for modules over commutative rings

2015
Summary: In this article, we give several generalizations of the concept of annihilating ideal graph over a commutative ring with identity to modules. We observe that, over a commutative ring, \(R, \mathbb{AG}_*(_RM)\) is connected, and \(\mathrm{diam}\mathbb{AG}_*(_RM)\leq 3\).
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Some results on the sum-annihilating essential submodule graph

Summary: Consider a commutative ring \(R\) with a non-zero identity \(1 \neq 0\), and let \(M\) be a non-zero unitary module over \(R\). In this document, our goal is to present the sum-annihilating essential submodule graph \(\mathbb{AE}^0_R(M)\) and its subgraph \(\mathbb{AE}^1_R(M)\) of a module \(M\) over a commutative ring \(R\) which is described
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Annihilator Condition on Modules

Iranian Journal of Science, 2023
Najib Mahdou, Suat Koc, Eda Yıldız
exaly  

On the lattice of annihilator ideals and its applications

Communications in Algebra, 2021
Themba Dube, Ali Taherifar
exaly  

Multiplicatively Idempotent Semirings with Annihilator Condition

Russian Mathematics, 2023
E M Vechtomov, Vechtomov E M
exaly  

R-Annihilator small fuzzy submodules

AIP Conference Proceedings
Shaymaa A. Muheyaddin, Hatam Y. Khalaf
openaire   +1 more source

On the Annihilator Graph of a Commutative Ring

Communications in Algebra, 2014
Ayman Badawi
exaly  

Aggregation operators with annihilator

International Journal of General Systems, 2005
M Mas, M Monserrat, Joan Torrens
exaly