Dergiler / International Electronic Journal of Algebra / 2007 / Cilt: 2 - Sayı: 2

MODULES SATISFYING THE ASCENDING CHAIN CONDITION ON SUBMODULES WITH A BOUNDED NUMBER OF GENERATORS

MODULES SATISFYING THE ASCENDING CHAIN CONDITION ON SUBMODULES WITH A BOUNDED NUMBER OF GENERATORS

Patrick F. SMİTH

Sayfa
71–82
DOI
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Abstract

It is proved that if R is a right and left Noetherian ring then the right R-module RI satisfies the ascending chain condition on n-generated submodules, for every positive integer n.