On some Frobenius type divisibility results in a premodular category
Sebastian Burciu
TL;DR
This paper establishes new divisibility results related to Frobenius properties in premodular categories, extending previous findings from super-modular to more general pseudo-unitary cases.
Contribution
It generalizes Frobenius divisibility results from super-modular to all pseudo-unitary premodular categories, broadening the theoretical framework.
Findings
New Frobenius divisibility results for premodular categories
Extension of Corollary 3.4 from super-modular to pseudo-unitary cases
Broader applicability of divisibility properties in category theory
Abstract
In this note some new Frobenius type divisibility results are obtained for premodular categories. In particular, we extend Corollary 3.4 of [Yu20] from the settings of super-modular categories to arbitrary pseudo-unitary premodular categories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Advanced Topics in Algebra