Generalizations of Samuel's criteria for a ring to be a unique factorization domain

Autor:	Daigle, Daniel, Freudenburg, Gene, Nagamine, Takanori
Rok vydání:	2021
Předmět:	Mathematics - Commutative Algebra 13
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.06642 Zobrazit plný text záznamu View this record from Arxiv