Linkage of Ideals in Integral Domains
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DOI: 10.1007/s10468-020-09969-7
Abstract: In this paper, we investigate the linkage of ideals, in Noetherian and non-Noetherian settings, with the aim to establish new characterizations of classical notions of domains through linkage theory. Two main results assert that a… read more here.
Keywords: integral domains; linkage ideals; linkage; linkage property ... See more keywords
Dp-Minimal integral domains
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DOI: 10.1007/s11856-021-2254-6
Abstract: It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $\mathfrak p $ of $R$, the localization $R_{\mathfrak p }$ is a valuation ring and $\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$.… read more here.
Keywords: minimal integral; integral domains; mathfrak;