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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, номер 2, страницы 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

Аннотация: 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.

Ключевые слова и фразы: Topological ring, fundamental system of neighbourhoods of zero, continuous homomorphism, topological homomorphism, semi-topological isomorphism, accessible subrings, superposition of isomorphism.

MSC: 16W80

Поступила в редакцию: 26.02.2007

Язык публикации: английский



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