Closed categories, star-autonomy, and monoidal comonads

DOI10.1016/J.JALGEBRA.2008.05.004zbMath1182.18005arXiv0712.0418OpenAlexW1997277228WikidataQ56687284 ScholiaQ56687284MaRDI QIDQ834844

Craig Pastro, Ross H. Street

Publication date: 27 August 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0418

zbMATH Keywords

antipodemonadbialgebroidquantum groupoid*-autonomyclosed categoryinternal hom

Mathematics Subject Classification ID

Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (5)

Bialgebras in Rel ⋮ A quantum double construction in Rel ⋮ Coherence for monoidal endofunctors ⋮ Coherence for monoidal monads and comonads ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Nonsymmetric \(^{\ast}\)-autonomous categories
• Tortile Yang-Baxter operators in tensor categories
• The monoidal Eilenberg-Moore construction and bialgebroids
• Dualizations and antipodes
• Bialgebroids, \(\times_A\)-bialgebras and duality
• Hopf monads
• A generalization of the functorial calculus
• The formal theory of monads
• Monads on tensor categories

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