• Home
  • Browse
    • Current Issue
    • By Issue
    • By Author
    • By Subject
    • Author Index
    • Keyword Index
  • Journal Info
    • About Journal
    • Aims and Scope
    • Editorial Board
    • Advisory Board
    • Editorial Staff
    • Publication Ethics
    • Indexing and Abstracting
    • Related Links
    • FAQ
    • Peer Review Process
    • News
  • Guide for Authors
  • Submit Manuscript
  • Reviewers
  • Contact Us
 
  • Login
  • Register
Home Articles List Article Information
  • Save Records
  • |
  • Printable Version
  • |
  • Recommend
  • |
  • Export Citation Export to
    RIS EndNote BibTeX APA MLA Harvard Vancouver
  • |
  • Share Share
    CiteULike Mendeley Facebook Google LinkedIn Twitter Telegram
Bulletin of the Iranian Mathematical Society
Articles in Press
Current Issue
Journal Archive
Volume Volume 43 (2017)
Volume Volume 42 (2016)
Volume Volume 41 (2015)
Volume Volume 40 (2014)
Volume Volume 39 (2013)
Volume Volume 38 (2012)
Volume Volume 37 (2011)
Issue No. 4
Issue No. 3
Issue No. 2
Issue No. 1
Volume Volume 36 (2010)
Volume Volume 35 (2009)
Volume Volume 34 (2008)
Volume Volume 33 (2007)
Volume Volume 32 (2006)
Volume Volume 31 (2005)
Volume Volume 30 (2004)
Volume Volume 29 (2003)
Volume Volume 28 (2002)
Volume Volume 27 (2001)
Behboodi, M., Jahani-Nezhad, R., Naderi, M. (2011). Classical quasi-primary submodules. Bulletin of the Iranian Mathematical Society, 37(No. 4), 51-71.
M. Behboodi; R. Jahani-Nezhad; M. H. Naderi. "Classical quasi-primary submodules". Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 51-71.
Behboodi, M., Jahani-Nezhad, R., Naderi, M. (2011). 'Classical quasi-primary submodules', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 51-71.
Behboodi, M., Jahani-Nezhad, R., Naderi, M. Classical quasi-primary submodules. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 4): 51-71.

Classical quasi-primary submodules

Article 4, Volume 37, No. 4, December 2011, Page 51-71  XML PDF (243 K)
Document Type: Research Paper
Authors
M. Behboodi ; R. Jahani-Nezhad; M. H. Naderi
Receive Date: 23 August 2009,  Revise Date: 14 April 2010,  Accept Date: 14 April 2010 
Abstract
In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules.
Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of
classical quasi-primary decompositions in finitely generated modules over Noetherian
rings are proved. Moreover, we show that this decomposition and the decomposition into classical primary submodules are the same
when $R$ is a domain with ${rm dim}(R)leq 1$.
Keywords
Primary; classical primary; Classical quasi-primary; decomposition
Statistics
Article View: 2,421
PDF Download: 3,337
Home | Glossary | News | Aims and Scope | Sitemap
Top Top

Journal Management System. Designed by sinaweb.