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The Chinese Remainder Theorem and the Invariant Basis Property

Published online by Cambridge University Press:  20 November 2018

David F. Anderson
David F. Anderson*
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, Tennessee37916
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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?

Keywords

13A9916A48

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 3 , 01 September 1978 , pp. 361 - 362
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Cohn, P. M., Some remarks on the invariant basis property, Topology, 5 (1966), 215-228.Google Scholar