Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra and Discrete Mathematics, 2017, Volume 23, Issue 1, Pages 1–6 (Mi adm592)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

A criterion of elementary divisor domain for distributive domains

V. Bokhonko, B. Zabavsky

Department of Mechanics and Mathematics, Ivan Franko National University, Lviv, Ukraine
Full-text PDF (283 kB) Citations (1)
References:
PDF
HTML
Abstract: In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
Keywords: distributive domain, Bezout duo-domain, neat ring, clear ring, elementary divisor ring, stable range one, neat range one.
Received: 26.09.2015
Revised: 31.01.2017
Bibliographic databases:
Document Type: Article
MSC: 13F99
Language: English
Citation: V. Bokhonko, B. Zabavsky, “A criterion of elementary divisor domain for distributive domains”, Algebra Discrete Math., 23:1 (2017), 1–6
Citation in format AMSBIB
\Bibitem{BokZab17}
\by V.~Bokhonko, B.~Zabavsky
\paper A~criterion of elementary divisor domain for distributive domains
\jour Algebra Discrete Math.
\yr 2017
\vol 23
\issue 1
\pages 1--6
\mathnet{http://mi.mathnet.ru/adm592}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000398979400002}
Linking options:
  • https://www.mathnet.ru/eng/adm592
  • https://www.mathnet.ru/eng/adm/v23/i1/p1
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:96
    Full-text PDF :58
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024