The classification of dp-minimal integral domains

Autor:	d'Elbée, Christian, Halevi, Yatir, Johnson, Will
Rok vydání:	2024
Předmět:	Mathematics - Logic Mathematics - Rings and Algebras 03C45
Druh dokumentu:	Working Paper
Popis:	We classify dp-minimal integral domains, building off the existing classification of dp-minimal fields and dp-minimal valuation rings. We show that if R is a dp-minimal integral domain, then R is a field or a valuation ring or arises from the following construction: there is a dp-minimal valuation overring O extending R, a proper ideal I in O, and a finite subring S in O/I such that R is the preimage of S in O. Comment: 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.21014 Zobrazit plný text záznamu View this record from Arxiv