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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Isomorphisms between endomorphism rings of modules


Author: Kenneth G. Wolfson
Journal: Proc. Amer. Math. Soc. 123 (1995), 1971-1973
MSC: Primary 16S50
MathSciNet review: 1243174
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Abstract: We derive a necessary and sufficient condition that an isomorphism between the endomorphism rings of modules be induced by a semi-linear isomorphism of the modules. We require that at least one of the modules contain a non-zero free summand, generalizing work of Xu, who required both modules to be free.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1243174-3
PII: S 0002-9939(1995)1243174-3
Article copyright: © Copyright 1995 American Mathematical Society