Properties of accessible subrings of pseudonormed rings when taking quotient rings
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2017-11-20 11:03
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512.556+515.14 (1)
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ALESCHENKO, S, ARNAUTOV, Vladimir. Properties of accessible subrings of pseudonormed rings when taking quotient rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2017, nr. 2(84), pp. 42-53. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(84) / 2017 / ISSN 1024-7696 /ISSNe 2587-4322

Properties of accessible subrings of pseudonormed rings when taking quotient rings

CZU: 512.556+515.14
MSC 2010: 16W60, 13A18

Pag. 42-53

Aleschenko S1, Arnautov Vladimir2
 
1 T.G. Shevchenko State University of Pridnestrovie, Tiraspol,
2 Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 16 noiembrie 2017


Rezumat

Let (R, _) and (¯R, ¯_) be pseudonormed rings, ' : R → ¯R be a ring isomorphism. We prove that ' : (R, _) → (¯R, ¯_) 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.

Cuvinte-cheie
Pseudonormed rings, quotient rings, isometric homomorphism, semi-isometric isomorphism, accessible subrings, superposition of isomorphisms, canonical homomorphism