Valuations on Superrings
Pedro Rizzo, Joel Torres del Valle, and Alexander Torres-Gomez
TL;DR
This paper develops a valuation theory for superrings, extending classical algebraic concepts to the supercommutative setting, and explores the construction of associated superspaces.
Contribution
It introduces valuations on superrings, investigates their properties, and constructs Zariski-Riemann superspaces, extending valuation theory to supergeometry.
Findings
Valuations on superrings are formally defined and characterized.
Fundamental properties of valuations in the supercommutative context are established.
Construction of Zariski-Riemann superspaces is achieved for superrings.
Abstract
A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the -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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Taxonomy
TopicsBusiness Strategy and Innovation · Economic theories and models