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The Chinese Remainder Theorem and the Invariant Basis Property
Published online by Cambridge University Press: 20 November 2018
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The 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?
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- Copyright © Canadian Mathematical Society 1978
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