Research articles

Properties of accessible subrings of pseudonormed rings when taking quotient rings

S. A. Aleschenko^a, V. I. Arnautov<sup>b

a</sup> Transnistrian T. G. Shevchenko State University, str. 25 Octombrie, 128, MD-3300 Tiraspol, Moldova
^b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, str. Academiei, 5, MD-2028 Chişinău, Moldova

Abstract: Let $(R,\xi)$ and $(\bar R,\bar\xi)$ be pseudonormed rings, $\varphi\colon R\to\bar R$ be a ring isomorphism. We prove that $\varphi\colon(R,\xi)\to(\bar R,\bar\xi)$ 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.

Keywords and phrases: pseudonormed rings, quotient rings, isometric homomorphism, semi-isometric isomorphism, accessible subrings, superposition of isomorphisms, canonical homomorphism.

MSC: 16W60,13A18

Received: 05.12.2016

Language: English

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