Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, Number 1, Pages 3–14 (Mi basm79)  

This article is cited in 2 scientific papers (total in 2 papers)

Research articles

Properties of one-sided ideals of topological rings

V. I. Arnautov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
Full-text PDF (130 kB) Citations (2)
References:
Abstract: A continuous ring isomorphism $\nu\colon(R,\tau)\to(\widehat{R},\widehat{\tau})$ is said to be semitopological from the left (right) in the class $\mathfrak R$ provided $(R,\tau)$ is a left ideal (right ideal, ideal) of a topological ring $(\widetilde{R},\widetilde{\tau})\in\mathfrak R$ and $\nu=\widetilde{\nu}|_R$ for a topological homomorphism $\widetilde{\nu}\colon(\widetilde{R},\widetilde{\tau})\to(\widehat{R},\widehat{\tau})$. The article contains several criteria for a continuous homomorphism to be semi-topological from the left (right).
Keywords and phrases: Topological ring, fundamental system of neighbourhoods of zero, continuous homomorphism, topological homomorphism, semi-topological homomorphism.
Received: 05.03.2006
Bibliographic databases:
Document Type: Article
MSC: 16W80
Language: English
Citation: V. I. Arnautov, “Properties of one-sided ideals of topological rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2006, no. 1, 3–14
Citation in format AMSBIB
\Bibitem{Arn06}
\by V.~I.~Arnautov
\paper Properties of one-sided ideals of topological rings
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2006
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/basm79}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2247466}
\zmath{https://zbmath.org/?q=an:1138.16019}
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  • https://www.mathnet.ru/eng/basm/y2006/i1/p3
  • 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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    Abstract page:272
    Full-text PDF :65
    References:53
    First page:2
     
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