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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 3, Pages 45–53 (Mi basm300)  

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
Full-text PDF (132 kB) Citations (2)
References:
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
Bibliographic databases:
Document Type: Article
MSC: 13A02, 16W50
Language: English
Citation: Ahmad Yousefian Darani, “Topologies on $Spec_g(M)$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 3, 45–53
Citation in format AMSBIB
\Bibitem{You11}
\by Ahmad Yousefian Darani
\paper Topologies on $Spec_g(M)$
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2011
\issue 3
\pages 45--53
\mathnet{http://mi.mathnet.ru/basm300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952653}
\zmath{https://zbmath.org/?q=an:1262.13003}
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  • https://www.mathnet.ru/eng/basm300
  • https://www.mathnet.ru/eng/basm/y2011/i3/p45
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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    Full-text PDF :59
    References:21
    First page:1
     
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