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Stone Coalgebras

✍ Scribed by Clemens Kupke; Alexander Kurz; Yde Venema

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 235 KB
Volume: 82
Category: Article
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(04)80638-8

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📜 SIMILAR VOLUMES

On tree coalgebras and coalgebra present

On tree coalgebras and coalgebra presentations

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For deterministic systems, expressed as coalgebras over polynomial functors, every tree t (an element of the ÿnal coalgebra) turns out to represent a new coalgebra At. The universal property of this family of coalgebras, resembling freeness, is that for every state s of every system S there exists a

Semiperfect coalgebras

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Coproper coalgebras

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Coalgebraic Monads

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Weighted incidence coalgebras

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Hopf group-coalgebras

✍ Alexis Virelizier 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 374 KB

We study algebraic properties of Hopf group-coalgebras, recently introduced by Turaev. We show the existence of integrals and traces for such coalgebras, and we generalize the main properties of quasitriangular and ribbon Hopf algebras to the setting of Hopf group-coalgebras.