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

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.

MSC: 16W80

Received: 26.02.2007

Language: English

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