Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Properties of accessible subrings of pseudonormed rings when taking quotient rings
Authors: S. A. Aleschenko, Arnautov Vladimir
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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
E-mail:
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
E-mail:
Fulltext
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Contents
- Vladimir A. Andrunachievici (1917 - 1997)
- Early History of the Theory of Rings in Novosibirsk
- Pretorsions in modules and associated closure operators
- Properties of accessible subrings of pseudonormed rings when taking quotient rings
- Radicals and generalizations of derivations
- Some examples of topological modules
- Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- On the inverse operations in the class of preradicals of a module category, II
- On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
- The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
