Abstract
AbstracrtThe Chinese Remainder Theorem states that if I and J are comaximal ideals of a ring R, then A/(I∩J)A is isomorphic to A/IA×A/JA for any left R-module A. In this paper we study the converse; when does A/(I∩J)A and A/IA×A/JA isomorphic imply that I and J are comaximal?
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. A class of principal ideal rings arising from the converse of the Chinese remainder theorem;International Journal of Mathematics and Mathematical Sciences;2006
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