Seminar Paper

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Information Seminar Paper

Title

FULLY PRIMARY MODULES

Author(s)

NIKSERESHT A. | SHARIF H.

Pages

  -

Abstract

 LET R BE A COMMUTATIVE RING AND M BE AN R-MODULE. WE SAY THAT M IS (ALMOST) FULLY PRIMARY, IF EVERY (NONZERO) PROPER SUBMODULE OF M IS PRIMARY. IN THIS PAPER, WE STATE SOME CHARACTERIZATIONS OF (ALMOST) FULLY PRIMARY MODULES. WE ALSO GIVE SOME CHARACTERIZATIONS OF RINGS OVER WHICH EVERY MODULE IS FULLY PRIMARY, AND OF THOSE RINGS OVER WHICH THERE EXISTS A FAITHFUL (ALMOST) FULLY PRIMARY MODULE.

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