Generalizations of Samuel's criteria for a ring to be a unique factorization domain
Commutative Algebra
2021-02-15 v1
Abstract
We give several criteria for a ring to be a UFD including generalizations of some criteria due to P. Samuel. These criteria are applied to construct, for any field k, (1) a Z-graded non-noetherian rational UFD of dimension three over k, and (2) k-affine rational UFDs defined by trinomial relations.
Keywords
Cite
@article{arxiv.2102.06642,
title = {Generalizations of Samuel's criteria for a ring to be a unique factorization domain},
author = {Daniel Daigle and Gene Freudenburg and Takanori Nagamine},
journal= {arXiv preprint arXiv:2102.06642},
year = {2021}
}