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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.09842 |
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| _version_ | 1866913838533705728 |
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| author | Rizzo, Pedro del Valle, Joel Torres Torres-Gomez, Alexander |
| author_facet | Rizzo, Pedro del Valle, Joel Torres Torres-Gomez, Alexander |
| contents | A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the $\mathbb Z_2$-graded and supercommutative setting. We define valuations on superrings, investigate their fundamental properties, and explore the construction of Zariski-Riemann superspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09842 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Valuations on Superrings Rizzo, Pedro del Valle, Joel Torres Torres-Gomez, Alexander Rings and Algebras Algebraic Geometry A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the $\mathbb Z_2$-graded and supercommutative setting. We define valuations on superrings, investigate their fundamental properties, and explore the construction of Zariski-Riemann superspaces. |
| title | Valuations on Superrings |
| topic | Rings and Algebras Algebraic Geometry |
| url | https://arxiv.org/abs/2505.09842 |