Graded Perinormality
arXiv:2308.05299
Abstract
An integral domain is \emph{perinormal} if every local going-down overring is a localization of and \emph{globally perinormal} if every going-down overring is a localization of . In this paper, I introduce notions of graded perinormal and graded globally perinormal domains and show that many results obtained for perinormal and globally perinormal domains have graded analogs. I also give some results for descent of properties between a graded domain and its th graded component.
18 pages, Comments welcome!