Results 1 to 10 of about 39 (32)
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
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The graded annihilating submodule graph
AKCE International Journal of Graphs and CombinatoricsIn 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
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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
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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 +1 more
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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 +1 more
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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
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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.
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EECoG-Comp: An Open Source Platform for Concurrent EEG/ECoG Comparisons-Applications to Connectivity Studies. [PDF]
Brain Topogr, 2019 Wang Q +7 more
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Some of the next articles are maybe not open access.
Some results on the strongly annihilating submodule graph of a module
2023Summary: 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 +1 more
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On the Annihilator Submodules and the Annihilator Essential Graph
Acta Mathematica Vietnamica, 2019Let \(R\) 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 +2 more
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