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   Articles with "monoidal categories" as a keyword



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Monochromatic homotopy theory is asymptotically algebraic

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recommendations! Published in 2021 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2021.107999

Abstract: In previous work, we used an ∞-categorical version of ultraproducts to show that, for a fixed height n, the symmetric monoidal ∞-categories of En,p-local spectra are asymptotically algebraic in the prime p. In this paper,… read more here.

Keywords: homotopy theory; theory; asymptotically algebraic; monoidal categories ... See more keywords

(WEAK) INCIDENCE BIALGEBRAS OF MONOIDAL CATEGORIES

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recommendations! Published in 2020 at "Glasgow Mathematical Journal"

DOI: 10.1017/s0017089520000075

Abstract: Abstract Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The overlap with the theory of combinatorial… read more here.

Keywords: incidence; weak incidence; bialgebras monoidal; incidence bialgebras ... See more keywords

Monoidal Categories Enriched in Braided Monoidal Categories

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recommendations! Published in 2017 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnx217

Abstract: We introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal V$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to… read more here.

Keywords: enriched braided; braided monoidal; monoidal categories; category mathcal ... See more keywords

Division algebras in monoidal categories

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recommendations! Published in 2025 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498827501003

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. read more here.

Keywords: monoidal categories; division algebras; algebra; algebras monoidal ... See more keywords