On Segre products, $F$-regularity, and finite Frobenius representation type
Commutative Algebra
2023-07-13 v2
Abstract
We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using the Frobenius endomorphism. Specifically, we construct normal graded rings of finite Frobenius representation type that are not Cohen-Macaulay.
Keywords
Cite
@article{arxiv.2303.04331,
title = {On Segre products, $F$-regularity, and finite Frobenius representation type},
author = {Anurag K. Singh and Kei-ichi Watanabe},
journal= {arXiv preprint arXiv:2303.04331},
year = {2023}
}