English

Valuations on Superrings

Rings and Algebras 2025-05-16 v1 Algebraic Geometry

Abstract

A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the Z2\mathbb Z_2-graded and supercommutative setting. We define valuations on superrings, investigate their fundamental properties, and explore the construction of Zariski-Riemann superspaces.

Keywords

Cite

@article{arxiv.2505.09842,
  title  = {Valuations on Superrings},
  author = {Pedro Rizzo and Joel Torres del Valle and Alexander Torres-Gomez},
  journal= {arXiv preprint arXiv:2505.09842},
  year   = {2025}
}

Comments

19 pages, comments are welcome

R2 v1 2026-06-28T23:33:46.614Z