The Frobenius functor and injective modules

Details The Frobenius functor and injective modules The Frobenius functor and injective modules

2012-01-05

arxiv.org/abs/1201.1263v2

Mathematics

Commutative Algebra

15 pages

Scientific paper

We investigate commutative Noetherian rings of prime characteristic such that
the Frobenius functor applied to any injective module is again injective. We
characterize the class of one-dimensional local rings with this property and
show that it includes all one-dimensional F-pure rings.

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