A special subring of the Nagata ring and the Serre's conjecture ring
Commutative Algebra
2026-01-06 v4
Abstract
Many ring theorists researched various properties of Nagata rings and Serre's conjecture rings. In this paper, we introduce a subring (refer to the Anderson ring) of both the Nagata ring and the Serre's conjecture ring (up to isomorphism), and investigate properties of the Anderson ring. Additionally, we compare the properties of the Anderson ring with those of the Nagata ring and the Serre's conjecture ring.
Cite
@article{arxiv.2408.08758,
title = {A special subring of the Nagata ring and the Serre's conjecture ring},
author = {Hyungtae Baek and Jung Wook Lim},
journal= {arXiv preprint arXiv:2408.08758},
year = {2026}
}
Comments
18 pages