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Division algebras in monoidal categories

2025/02/04 by Jacob Kesten, Kesten, Jacob, Chelsea Walton +1
Engineering · Computer Science · #Advanced Numerical Analysis Techniques #Advanced Algebra and Logic #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2502.02532

Abstract

This work adapts the equivalent definitions of division algebras over a field into multiple types of division algebras in a monoidal category. Examples and consequences of these definitions are then established in various monoidal settings.

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