Internal coalgebras in cocomplete categories: Generalizing the Eilenberg–Watts theorem

DOI10.1142/S0219498821501656zbMath1486.18013arXiv2003.08113OpenAlexW3024817927MaRDI QIDQ5157915

Laurent Poinsot, Hans-E. Porst

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08113

zbMATH Keywords

locally presentable categoryLawvere theory(commutative) varietyinternal coalgebra

Mathematics Subject Classification ID

Categories of algebras (08C05) Structured objects in a category (group objects, etc.) (18C40)

Related Items

Sweedler theory of monads

Cites Work

• Free internal groups
• An invitation to general algebra and universal constructions.
• Tensor products and entropic varieties
• Equivalence for varieties in general and for \(\mathcal {BOOL}\) in particular
• Adjoint functors and triples
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• General Functorial Semantics, I
• Universal horn classes categorical or free in power
• Algebra valued functors in general and tensor products in particular
• Free Coalgebras in a Category of Rings
• Representable Functors and Operations on Rings
• A Generalization of Watts's Theorem: Right Exact Functors on Module Categories
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