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IMI/Publicaţii/BASM/Ediţii/BASM n.2(84), 2017/

Properties of accessible subrings of pseudonormed rings when taking quotient rings

Authors: S. A. Aleschenko, Arnautov Vladimir

Abstract

Let $(R,\xi)$ and $(\bar{R},\bar{\xi})$ be pseudonormed rings, $\varphi:R \rightarrow \bar{R}$ be a ring isomorphism. We prove that $\varphi : (R,\xi) \rightarrow (\bar{R},\bar{\xi})$ is a superposition of a finite number of semi-isometric isomorphisms if and only if it is a narrowing on an accessible subring of some isometric homomorphism.

S. A. Aleschenko
Transnistrian T.G. Shevchenko State University
str. 25 Octombrie, 128, MD-3300 Tiraspol
Moldova
E-mail:

V. I. Arnautov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
str. Academiei, 5, MD-2028 Chisinau
Moldova
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