Geodesic
The Chinese Remainder Theorem and the Invariant Basis Property
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 361-362

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DOI

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?
DOI : 10.4153/CMB-1978-062-8
Mots-clés : 13A99, 16A48 
Anderson, David F. The Chinese Remainder Theorem and the Invariant Basis Property. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 361-362. doi: 10.4153/CMB-1978-062-8
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     title = {The {Chinese} {Remainder} {Theorem} and the {Invariant} {Basis} {Property}},
     journal = {Canadian mathematical bulletin},
     pages = {361--362},
     year = {1978},
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     doi = {10.4153/CMB-1978-062-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-062-8/}
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