Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 385-394.

• Articles •     Next Articles

INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES

A. Azizi   

  • Online:2005-07-20 Published:2005-07-20

Abstract:

The aim of this paper is to study the conditions by which a P-prime sub-
module can be expressed as a ¯nite intersection or union of P-prime submodules. Also
corresponding to dimension and rank of modules, some equivalent conditions for a ring to
be a Dedekind domain are given.

Key words: Dimension of modules;multiplication modules;prime submodules, rank of
modules

CLC Number: 

  • 13E05
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