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- W2528254382 abstract "Let [Formula: see text] be an extension of integral domains, and let [Formula: see text] be the integral closure of [Formula: see text] in [Formula: see text]. The main purpose of this paper is to study [Formula: see text], the set of intermediate rings between [Formula: see text] and [Formula: see text]. As a main tool, we establish an explicit description of any intermediate ring in terms of localizations of [Formula: see text] (or [Formula: see text]). This study effectively enables us to characterize the minimal extensions in [Formula: see text]. We also prove a special chain theorem concerning the length of an arbitrary maximal chain in [Formula: see text]." @default.
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- W2528254382 date "2017-09-20" @default.
- W2528254382 modified "2023-09-25" @default.
- W2528254382 title "A special chain theorem in the set of intermediate rings" @default.
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- W2528254382 doi "https://doi.org/10.1142/s0219498817501857" @default.
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