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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 3, Pages 45–53
(Mi basm300)
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This article is cited in 2 scientific papers (total in 2 papers)
Topologies on $Spec_g(M)$
Ahmad Yousefian Darani Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran
Abstract:
Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. We endow $Spec_g(M)$, the collection of all graded prime submodules of $M$, analogous to that for $Spec(R)$, the spectrum of prime ideals of $R$, by two topologies: quasi-Zariski topology and Zariski topology. Then we study some properties of these topological spaces.
Keywords and phrases:
graded prime ideal, Zariski topology, quasi-Zariski topology.
Received: 13.01.2011
Citation:
Ahmad Yousefian Darani, “Topologies on $Spec_g(M)$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 3, 45–53
Linking options:
https://www.mathnet.ru/eng/basm300 https://www.mathnet.ru/eng/basm/y2011/i3/p45
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Abstract page: | 201 | Full-text PDF : | 59 | References: | 21 | First page: | 1 |
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