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, 2012, Volume 91, Issue 3, Pages 432–439
DOI: https://doi.org/10.4213/mzm9317 (Mi mzm9317) 		 
On the Ideals of Torsion-Free Rings of Rank One and Two

A. Najafizadeha, A. M. Aghdamb, F. Karimib

a Payame Noor University
b University of Tabriz
Full-text PDF (429 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9317
Abstract: Let $A$ be a torsion-free abelian group of rank one or two. We use the type set of $A$ to give necessary and sufficient conditions for the subgroups of $A$ to be ideals in every ring on $A$.
Keywords: ring over an Abelian group, nil group, torsion-free group, strongly nil subgroup, strongly non-nil subgroup.
Received: 15.03.2011
Revised: 01.05.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 409–414
DOI: https://doi.org/10.1134/S0001434612030108
Bibliographic databases:
Document Type: Article
UDC: 512.522.12
Language: Russian
Citation: A. Najafizadeh, A. M. Aghdam, F. Karimi, “On the Ideals of Torsion-Free Rings of Rank One and Two”, Mat. Zametki, 91:3 (2012), 432–439; Math. Notes, 91:3 (2012), 409–414
Citation in format AMSBIB
\Bibitem{NajAghKar12}
\by A.~Najafizadeh, A.~M.~Aghdam, F.~Karimi
\paper On the Ideals of Torsion-Free Rings of Rank One and Two
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 3
\pages 432--439
\mathnet{http://mi.mathnet.ru/mzm9317}
\crossref{https://doi.org/10.4213/mzm9317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201439}
\elib{https://elibrary.ru/item.asp?id=20731499}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 3
\pages 409--414
\crossref{https://doi.org/10.1134/S0001434612030108}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478900010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860365608}
Linking options:
  • https://www.mathnet.ru/eng/mzm9317
  • https://doi.org/10.4213/mzm9317
  • https://www.mathnet.ru/eng/mzm/v91/i3/p432
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:317
    Full-text PDF :143
    References:51
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024