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SM ISO690:2012 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 | ||||||
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CZU: 512.556+515.14 | ||||||
MSC 2010: 16W60, 13A18 | ||||||
Pag. 42-53 | ||||||
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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. |
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Cuvinte-cheie Pseudonormed rings, quotient rings, isometric homomorphism, semi-isometric isomorphism, accessible subrings, superposition of isomorphisms, canonical homomorphism |
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