Abstract
It is shown that every dp-minimal integral domain R is a local ring and for every non-maximal prime ideal ℘ of R, the localization R℘ is a valuation ring and ℘R℘ = ℘. Furthermore, a dp-minimal integral domain is a valuation ring if and only if its residue field is infinite or its residue field is finite and its maximal ideal is principal.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have