Division algebras in monoidal categories

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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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-11-20
DOI
https://doi.org/10.1142/s0219498827501003
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Division algebras in monoidal categories

Chelsea Walton, Jacob Kesten
Journal of Algebra and Its Applications
Homotopy and Cohomology in Algebraic Topology
article

Division algebras in monoidal categories

Chelsea Walton, Jacob Kesten
article en

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.

Journal of Algebra and Its Applications
Rice University (US)
Openalex Percentile: Top 59%
Homotopy and Cohomology in Algebraic Topology
DOISourceOpenAlex
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Division algebras in monoidal categories — Chelsea Walton, Jacob Kesten · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS