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

Authors : Patrick F SMİTH

Pages : 71-82

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Publication Date : 2007-12-01

Article Type : Research Paper

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.
Keywords : Chain conditions, Bimodule, Noetherian module, Direct product