3 papers
math.AG2026
The Structure of -Superschemes
Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez
This paper establishes a structural generalization of Batchelor's theorem within the framework of -superschemes. Our main result proves that any Batchelor space satisfies…
math.AG2025
-superrings and -superschemes
Cristian Danilo Olarte, Pedro Rizzo, Alexander Torres-Gomez
This paper develops a theory of -superrings and their associated -superschemes. We prove a key equivalence between the category of fair affine -supers…
math.RA2025
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…