Results 1 to 10 of about 16,887 (181)
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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Dual Zariski Topology on Comultiplication Modules
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 This paper dealswith dual Zariski topology on comultiplication modules. We define a subspacetopology of dual Zariski topology on comultiplication modules and study someproperties of this subspace topology.
Ortaç Öneş
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Zariski Topologies on Graded Ideals
Tatra Mountains Mathematical Publications, 2021 Abstract In this paper, we show there are strong relations between the algebraic properties of a graded commutative ring R and topological properties of open subsets of Zariski topology on the graded prime spectrum of R. We examine some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense, and ...
Bataineh, Malik +2 more
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The Basic Zariski Topology [PDF]
Confluentes Mathematici, 2016 We present the Zariski spectrum as an inductively generated basic topology à la Martin-Löf and Sambin. Since we can thus get by without considering powers and radicals, this simplifies the presentation as a formal topology initiated by Sigstam.
Rinaldi, Davide +2 more
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Applied General Topology, 2022 Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M)
Saif Salam, Khaldoun Al-Zoubi
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Zariski topology on the spectrum of fuzzy classical primary submodules
Applied General Topology, 2022 Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Phakakorn Panpho, Pairote Yiarayong
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PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE [PDF]
Journal of Algebraic Systems, 2020 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $\mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M ...
H. Bijari +2 more
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Zariski topology over multiplication Krasner hypermodules
Ukrains’kyi Matematychnyi Zhurnal, 2022 UDC 512.5 In this paper, we introduce the notion of multiplication Krasner hypermodules over commutative hyperrings and topologize the collection of all multiplication Кrasner hypermodules. In addition, we investigate some properties of this topological space.
Kulak, Ö., Türkmen, B. N.
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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On the gamma spectrum of multiplication gamma acts
Kuwait Journal of Science, 2021 In this paper we introduce the concept of topological gamma act as a generalization of Zariski topology . Some topological properties of this topology are studied.
Mehdi S. Abbas, Samer A. Jubair
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