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 6, Pages 870–879
DOI: https://doi.org/10.4213/mzm9390 (Mi mzm9390) 		 
$\mathcal{GP}$-Projective and $\mathcal{GI}$-Injective Modules

Q. X. Panab, X. L. Zhuab

a Nanjing Agricultural University, China
b Nanjing University, China
Full-text PDF (439 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9390
Abstract: Let $R$ be a ring. This paper introduces and studies $\mathcal{GP}$-projective and $\mathcal{GI}$-injective left $R$-modules. Our main goal is to investigate the “global” dimension
$$ \operatorname{GPID}(R)=\sup\{\operatorname{id}(M)\mid M\in{_R\mathcal{M}},\,\text{$M$ is Gorenstein projective}\}. $$
Keywords: Gorenstein dimension, $\mathcal{GP}$-projective module, $\mathcal{GI}$-injective module, left-$\operatorname{GPI}$ ring, semisimple ring.
Received: 20.09.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 6, Pages 824–832
DOI: https://doi.org/10.1134/S000143461205029X
Bibliographic databases:
Document Type: Article
UDC: 512.533
Language: Russian
Citation: Q. X. Pan, X. L. Zhu, “$\mathcal{GP}$-Projective and $\mathcal{GI}$-Injective Modules”, Mat. Zametki, 91:6 (2012), 870–879; Math. Notes, 91:6 (2012), 824–832
Citation in format AMSBIB
\Bibitem{PanZhu12}
\by Q.~X.~Pan, X.~L.~Zhu
\paper $\mathcal{GP}$-Projective and $\mathcal{GI}$-Injective Modules
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 6
\pages 870--879
\mathnet{http://mi.mathnet.ru/mzm9390}
\crossref{https://doi.org/10.4213/mzm9390}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201525}
\elib{https://elibrary.ru/item.asp?id=20731553}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 6
\pages 824--832
\crossref{https://doi.org/10.1134/S000143461205029X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000305984400029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864192505}
Linking options:
  • https://www.mathnet.ru/eng/mzm9390
  • https://doi.org/10.4213/mzm9390
  • https://www.mathnet.ru/eng/mzm/v91/i6/p870
    • 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:373
    Full-text PDF :154
    References:41
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024