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Finite intersection of valuation overrings of polynomial rings in at most three variables

Finite intersection of valuation overrings of polynomial rings in at most three variables

The group of divisibility of an integral domain is the multiplicative group of nonzero principal fractional ideals of the domain and is a partially ordered group under reverse inclusion. We study the group of divisibility of a finite intersection of valuation overrings of polynomial rings in at most...

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Bibliographic Details
Main Author: Paudel, Lokendra
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
group of divisibility
valuation domain
Bézout domain
lattice-ordered group
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1997
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1997

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