- International Electronic Journal of Algebra
- Vol: 2 Issue: 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
Authors : Patrick F. Smith
Pages : 71-82
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Publication Date : 2007-12-01
Article Type : Other
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