English

On the Frobenius functor and colon ideals

Commutative Algebra 2007-09-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.0709.0943,
  title  = {On the Frobenius functor and colon ideals},
  author = {Wenliang Zhang},
  journal= {arXiv preprint arXiv:0709.0943},
  year   = {2007}
}
R2 v1 2026-06-21T09:14:45.594Z