Properties of accessible subrings of pseudonormed rings when taking quotient rings
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
898 1
Ultima descărcare din IBN:
2017-11-20 11:03
Căutarea după subiecte
similare conform CZU
512.556+515.14 (1)
Algebră (413)
Topologie (44)
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.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
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

Google Scholar Export

<meta name="citation_title" content="Properties of accessible subrings of pseudonormed rings when taking quotient rings">
<meta name="citation_author" content="Aleschenko S">
<meta name="citation_author" content="Arnautov Vladimir">
<meta name="citation_publication_date" content="2017/11/08">
<meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica">
<meta name="citation_volume" content="84">
<meta name="citation_issue" content="2">
<meta name="citation_firstpage" content="42">
<meta name="citation_lastpage" content="53">
<meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/y2017-n2-%28pp42-53%29.pdf">