Valuation overrings of polynomial rings and group of divisibility
DOI:
https://doi.org/10.13069/jacodesmath.v12i2.278Keywords:
Valuation domain, Group of divisibility, Lattice-ordered groupAbstract
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 $n > 3.$
Received: 7 February 2024 | Accepted: 28 December 2024Downloads
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