Results 1 to 10 of about 36 (31)

The graded annihilating submodule graph

AKCE International Journal of Graphs and Combinatorics
In this paper, we study the graded annihilating graph for submodules, representing graded submodules as vertices connected by edges following a specific pattern.
Mamoon Ahmed, Fida Moh’d
doaj   +4 more sources

Annihilating submodule graph for modules [PDF]

Transactions on Combinatorics, 2018
Let $R$ be a commutative ring and $M$ an‎ ‎$R$-module‎. ‎In this article‎, ‎we introduce a new generalization of‎ ‎the annihilating-ideal graph of commutative rings to modules‎. ‎The‎ ‎annihilating submodule graph of $M$‎, ‎denoted by $Bbb G(M)$‎, ‎is an‎
Saeed Safaeeyan
doaj   +2 more sources

Developed Zariski Topology-Graph

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, we introduce the developed Zariski topology-graph as- sociated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic properties of M and the ...
Hassanzadeh-Lelekaami Dawood, Karimi Maryam   +1 more
doaj   +5 more sources

The annihilating-submodule graph of modules over commutative rings II [PDF]

Arabian Journal of Mathematics, 2016
Let M be a module over a commutative ring R. In this paper, we continue our study of annihilating-submodule graph AG(M) which was introduced in (The Zariski topology-graph of modules over commutative rings, Comm. Algebra., 42 (2014), 3283{3296). AG(M) is a (undirected) graph in which a nonzero submodule N of M is a vertex if and only if there exists a ...
Habibollah Ansari-Toroghy
exaly   +5 more sources

On the strongly annihilating-submodule graph of a module

Hacettepe Journal of Mathematics and Statistics, 2022
In this paper we continue to study the strongly annihilating-submodule graph. In addition to providing the more properties of this graph, we compare extensively the properties of this graph with the annihilating-submodule graph.
Reza BEYRANVAND, Ahadollah FARZI-SAFARABADI   +1 more
openaire   +4 more sources

The intersection graph of annihilator submodules of a module

Opuscula Mathematica, 2019
Summary: Let \(R\) be a commutative ring and \(M\) be a Noetherian \(R\)-module. The intersection graph of annihilator submodules of \(M\), denoted by \(GA(M)\) is an undirected simple graph whose vertices are the classes of elements of \(Z_R(M)\setminus \text{Ann}_R(M)\), for \(a,b \in R\) two distinct classes \([a]\) and \([b]\) are adjacent if and ...
S.B. Pejman, Sh. Payrovi, S. Babaei
openaire   +1 more source

The quasi-Zariski topology-graph on the maximal spectrum of modules over commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Let M be a module over a commutative ring and let Max(M) be the collection of all maximal submodules of M. We topologize Max(M) with quasi-Zariski topology, where M is a Max-top module. For a subset T of Max(M), we introduce a new graph G(τT*m)$G(\tau_T^{
Ansari-Toroghy H., Habibi Sh.
doaj   +1 more source

EECoG-Comp: An Open Source Platform for Concurrent EEG/ECoG Comparisons-Applications to Connectivity Studies. [PDF]

Brain Topogr, 2019
Wang Q, Valdés-Hernández PA, Paz-Linares D, Bosch-Bayard J, Oosugi N, Komatsu M, Fujii N, Valdés-Sosa PA.   +7 more
europepmc   +1 more source

Some results on the strongly annihilating submodule graph of a module

2023
Summary: Let \(M\) be a module over a commutative ring \(R\). We continue our study of strongly annihilating submodule graph \(\mathbb{SAG}(M)\) introduced in [\textit{R. Beyranvand} and \textit{A. Farzi-Safarabadi}, Algebr. Struct. Appl. 7, No. 1, 83--99 (2020; Zbl 1463.05252)].
Beyranvand, Reza, Karimi Beiranvand, Parvin   +1 more
openaire   +2 more sources

On the Annihilator Submodules and the Annihilator Essential Graph

Acta Mathematica Vietnamica, 2019
Let \(R\) be a commutative ring and let \(M\) be an \(R\)-module. For \(a\in R, \mathrm{Ann}_M(a) =\{ m\in M:am = 0\}\) is said to be an annihilator submodule of \(M.\) In this paper, authors studied about the property of prime or essential for annihilator submodules of \(M\). Additionally, they have introduced the notion of annihilator essential graph
Babaei, Sakineh, Payrovi, Shiroyeh, Sevim, Esra Sengelen   +2 more
openaire   +3 more sources