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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Injective modules under flat base change


Author: Hans-Bjørn Foxby
Journal: Proc. Amer. Math. Soc. 50 (1975), 23-27
MSC: Primary 13C10
MathSciNet review: 0409439
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Abstract: It is proved that an injective module after a flat change of base is of pointwise finite injective dimension if and only if all the fibers at points associated to the injective module are Gorenstein rings (or trivial).


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DOI: https://doi.org/10.1090/S0002-9939-1975-0409439-7
Article copyright: © Copyright 1975 American Mathematical Society