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Information Seminar Paper

Title

MODULES WITH FINITELY MANY PRIME SUBMODULES

Author(s)

 NAGHIPOUR M.A.

Pages

  -

Abstract

 LET M BE A UNITARY MODULE OVER A COMMUTATIVE RING R. WE SAY THAT M HAS FMP PROPERTY IF EVERY PRIME SUBMODULE OF M CONTAINS A FINITELY MANY PRIME SUBMODULES OF M. IN [4] WE HAVE GIVEN A CHARACTERIZATION OF FREE MODULES WITH THIS PROPERTY. THE MAIN AIM OF THIS NOTE IS TO STUDY SOME PROPERTIES OF RINGS AND MODULES WITH FMP PROPERTY. ALSO WE WILL GENERALIZE COHEN’S THEOREM FOR THE NOETHERIAN RINGS TO THE MODULES WITH FMP PROPERTY.

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    • Cite

    APA: Copy

    NAGHIPOUR, M.A.. (2009). MODULES WITH FINITELY MANY PRIME SUBMODULES. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904445/en

    Vancouver: Copy

    NAGHIPOUR M.A.. MODULES WITH FINITELY MANY PRIME SUBMODULES. 2009. Available from: https://sid.ir/paper/904445/en

    IEEE: Copy

    M.A. NAGHIPOUR, “MODULES WITH FINITELY MANY PRIME SUBMODULES,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904445/en

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