Division algebras in monoidal categories
Jacob Kesten, Chelsea Walton
TL;DR
This paper extends the concept of division algebras from fields to monoidal categories, providing definitions, examples, and exploring their implications across different monoidal frameworks.
Contribution
It introduces multiple types of division algebras in monoidal categories and analyzes their properties and consequences.
Findings
Defined various types of division algebras in monoidal categories
Provided examples illustrating these definitions
Explored implications in different monoidal settings
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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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Algebra and Logic · Rough Sets and Fuzzy Logic