Isomorphisms between endomorphism rings of modules

Wolfson, Kenneth G.

doi:10.1090/S0002-9939-1995-1243174-3

Isomorphisms between endomorphism rings of modules
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by Kenneth G. Wolfson

Proc. Amer. Math. Soc. 123 (1995), 1971-1973

DOI: https://doi.org/10.1090/S0002-9939-1995-1243174-3

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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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