Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, Number 2, Pages 4–18 (Mi basm57)  
Properties of accessible subrings of topological rings when taking quotient rings

V. I. Arnautov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
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Abstract: A continuous isomorphism of topological rings is a superposition of a finite number of semi-topological isomorphisms if and only if it is a narrowing on an accessible subring of some topological homomorphism.
Keywords and phrases: Topological ring, fundamental system of neighbourhoods of zero, continuous homomorphism, topological homomorphism, semi-topological isomorphism, accessible subrings, superposition of isomorphism.
Received: 26.02.2007
Bibliographic databases:
MSC: 16W80
Language: English
Citation: V. I. Arnautov, “Properties of accessible subrings of topological rings when taking quotient rings”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2, 4–18
Citation in format AMSBIB
\Bibitem{Arn07}
\by V.~I.~Arnautov
\paper Properties of accessible subrings of topological rings when taking quotient rings
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2007
\issue 2
\pages 4--18
\mathnet{http://mi.mathnet.ru/basm57}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2343125}
\zmath{https://zbmath.org/?q=an:1184.16047}
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