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math.RA2026
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…
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…