A special subring of the Nagata ring and the Serre's conjecture ring
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909980398977024 |
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| author | Baek, Hyungtae Lim, Jung Wook |
| author_facet | Baek, Hyungtae Lim, Jung Wook |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A special subring of the Nagata ring and the Serre's conjecture ring Baek, Hyungtae Lim, Jung Wook Commutative Algebra 13A15, 13B25, 13B30 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. |
| title | A special subring of the Nagata ring and the Serre's conjecture ring |
| topic | Commutative Algebra 13A15, 13B25, 13B30 |
| url | https://arxiv.org/abs/2408.08758 |