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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…
math.RA2024
A Note on Unique Factorization in Superrings
Pedro Rizzo, Joel Torres del Valle, Alexander Torres-Gomez
In the realm of supercommutative superrings, this article investigates the unique factorization of elements. We build upon recent findings by Naser et. al. concerning similar resul…
math.RA2023
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…