Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Zametki, 1997, Volume 61, Issue 4, Pages 596–611
DOI: https://doi.org/10.4213/mzm1538
(Mi mzm1538)
 

This article is cited in 2 scientific papers (total in 2 papers)

Stable subsets of modules and the existence of a unit in associative rings

A. V. Khokhlov
Full-text PDF (250 kB) Citations (2)
References:
Abstract: We obtain criteria for the existence of a (left) unit in rings (arbitrary, Artinian, Noetherian, prime, and so on) that are based on the systematic study of properties of stable subsets of modules and their stabilizers that generalize the technique of idempotents. We study a class of quasiunitary rings that is a natural extension of classes of rings with unit and of von Neumann (weakly) regular rings, which inherits may properties of these classes. Some quasiunitary radicals of arbitrary rings are constructed, and the size of these radicals “measures the probability” of the existence of a unit.
Received: 09.12.1994
English version:
Mathematical Notes, 1997, Volume 61, Issue 4, Pages 495–509
DOI: https://doi.org/10.1007/BF02354994
Bibliographic databases:
UDC: 512
Language: Russian
Citation: A. V. Khokhlov, “Stable subsets of modules and the existence of a unit in associative rings”, Mat. Zametki, 61:4 (1997), 596–611; Math. Notes, 61:4 (1997), 495–509
Citation in format AMSBIB
\Bibitem{Kho97}
\by A.~V.~Khokhlov
\paper Stable subsets of modules and the existence of a~unit in associative rings
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 4
\pages 596--611
\mathnet{http://mi.mathnet.ru/mzm1538}
\crossref{https://doi.org/10.4213/mzm1538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1620011}
\zmath{https://zbmath.org/?q=an:0949.16033}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 4
\pages 495--509
\crossref{https://doi.org/10.1007/BF02354994}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XR25700033}
Linking options:
  • https://www.mathnet.ru/eng/mzm1538
  • https://doi.org/10.4213/mzm1538
  • https://www.mathnet.ru/eng/mzm/v61/i4/p596
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024