Mediterranean Journal of Mathematics

, Volume 9, Issue 2, pp 327–336 | Cite as

On the Dual Notion of Prime Submodules (II)

  • Habibollah Ansari-Toroghy
  • Faranak Farshadifar


Let R be a commutative ring and let M be an R-module. In this paper, we study the dual notion of prime submodules (that is, second submodules of M). Also we introduce the dual notion of weak multiplication R-modules (that is, weak comultiplication modules) in terms of second submodules and investigate some related results.

Mathematics Subject Classification (2010)

13C13 13E99 


Second submodules completely irreducible submodules and weak comultiplication modules 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Habibollah Ansari-Toroghy
    • 1
  • Faranak Farshadifar
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of GuilanRashtIran

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