Valuation overrings of polynomial rings and group of divisibility
In this work, we discuss the types of valuation overrings of $K[x_{1}, x_{2}, ..., x_{n}]$ based on the rank and rational rank of value groups. Also, we describe the group of divisibility of a finite intersection of valuation overrings of $K[x_{1}, x_{2}, ..., x_{n}].$ In particular, we focus on the case for $n > 3.$
Authors
- Lokendra Paudel
Institutions
- University of South Carolina Salkehatchie (US)
- University of South Carolina (US)
- Department of Mathematical Sciences (RU)
Publication Details
- Journal
- Journal of Algebra Combinatorics Discrete Structures and Applications
- Published
- 2025-05-08
- DOI
- https://doi.org/10.13069/jacodesmath.v12i2.278
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00