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arXiv · 2505.09842

Valuations on Superrings

Pedro Rizzo·Joel Torres del Valle·Alexander Torres-Gomez
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Abstract

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.

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Pedro Rizzo, Joel Torres del Valle, Alexander Torres-Gomez. 2025-05-14. Valuations on Superrings. https://arxiv.org/abs/2505.09842

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