On the Frobenius functor and colon ideals

Details On the Frobenius functor and colon ideals On the Frobenius functor and colon ideals

2007-09-06

arxiv.org/abs/0709.0943v1

Mathematics

Commutative Algebra

Scientific paper

In this paper we study the commutativity of the Frobenius functor and the
colon operation of two ideals for Noetherian rings of positive characteristic
$p$. New characterizations of regular rings and local UFDs are given.

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