Perinormal rings with zero divisors
Commutative Algebra
2016-09-30 v1
Abstract
We extend to rings with zero-divisors the concept of perinormal domain introduced by N. Epstein and J. Shapiro. A ring is called perinormal if every overring of which satisfies going down over is -flat. The Pr\"ufer rings and the Marot Krull rings are perinormal.
Keywords
Cite
@article{arxiv.1609.09216,
title = {Perinormal rings with zero divisors},
author = {Tiberiu Dumitrescu and Anam Rani},
journal= {arXiv preprint arXiv:1609.09216},
year = {2016}
}
Comments
9 pages