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arXiv · 2308.05299

Graded Perinormality

Hannah Klawa
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Abstract

An integral domain $R$ is \emph{perinormal} if every local going-down overring is a localization of $R$ and \emph{globally perinormal} if every going-down overring is a localization of $R$. 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 $0$th graded component.

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Hannah Klawa. 2023-08-10. Graded Perinormality. https://arxiv.org/abs/2308.05299

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