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- W3004265013 abstract "An integral domain is called {em Globalized multiplicatively pinched-Dedekind domain $($GMPD domain$)$} if every nonzero non-invertible ideal can be written as $JP_1cdots P_k$ with $J$ invertible ideal and $P_1,...,P_k$ distinct ideals which are maximal among the nonzero non-invertible ideals, cf. cite{DumII}. The GMPD domains with only finitely many overrings have been recently studied in cite{SU}. In this paper we find the exact number of quasi-local overrings of GMPD domains that only finitely many overrings. Also we study the effect of quasi-local overrings on the properties of GMPD domains. Moreover, we consider the structure of the partially ordered set of prime ideals (ordered under inclusion) in a GMPD domain." @default.
- W3004265013 created "2020-02-07" @default.
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- W3004265013 date "2020-01-20" @default.
- W3004265013 modified "2023-10-18" @default.
- W3004265013 title "A FINITENESS CONDITION ON QUASI-LOCAL OVERRINGS OF A CLASS OF PINCHED DOMAINS" @default.
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- W3004265013 doi "https://doi.org/10.17654/nt045010055" @default.
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