The quasi-Zariski topology-graph on the maximal spectrum of modules over commutative rings
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Publication:5227904
DOI10.2478/AUOM-2018-0032zbMATH Open1438.13017arXiv1509.08087OpenAlexW2964034750WikidataQ128632173 ScholiaQ128632173MaRDI QIDQ5227904
Author name not available (Why is that?)
Publication date: 7 August 2019
Published in: (Search for Journal in Brave)
Abstract: Let M be a module over a commutative ring and let Spec(M) (resp. Max(M)) be the collection of all prime (resp. maximal) submodules of M. We topologize Spec(M) with Zariski topology, which is analogous to that for Spec(R), and consider Max(M) as the induced subspace topology. For any non-empty subset T of Max(M), we introduce a new graph G( au^{m}_{T})called the Zariski topology-graph on the maximal spectrum of M. This graph helps us to study the algebraic (resp. topological) properties of M (resp. Max(M)) by using the graph theoretical tools.
Full work available at URL: https://arxiv.org/abs/1509.08087
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