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

• Date: 2024
• 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
• Journal Title: Algebra and Discrete Mathematics

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...