4 papers
Dedekind Superrings and Related Concepts
Pedro Rizzo, Joel Torres Del Valle, Alexander Torres-Gomez
This article investigates the properties of Dedekind superrings, invertible supermodules and projective supermodules within the -graded framework. Rather than treatin…
Formal Superschemes over Fields: Basic Theory
Felipe Saenz, Joel Torres del Valle
This paper develops the basic theory of formal schemes over fields in the supersymmetric setting. We introduce the notion of a formal superscheme and investigate some of its fundam…
A note on the definability of genus for Zariski geometries
DarÃo GarcÃa, Pedro Rizzo, Joel Torres del Valle
In this work we propose a notion of genus in the context of Zariski geometries and we obtain natural generalizations of the Riemann--Hurwitz Theorem and the Hurwitz Theorem in the…
Valuations on Superrings
Pedro Rizzo, Joel Torres del Valle, Alexander Torres-Gomez
A valuation theory for superrings is developed, extending classical constructions from commutative algebra to the -graded and supercommutative setting. We define valua…