Diagrammatic presentations of enriched monads and varieties for a subcategory of arities
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Publication:6077388
DOI10.1007/s10485-023-09735-yarXiv2207.05184OpenAlexW4386966712MaRDI QIDQ6077388
Rory B. B. Lucyshyn-Wright, Jason Parker
Publication date: 18 October 2023
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.05184
Theories (e.g., algebraic theories), structure, and semantics (18C10) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Enriched categories (over closed or monoidal categories) (18D20)
Cites Work
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- Monads with arities and their associated theories
- Notions of Lawvere theory
- On the concrete representation of discrete enriched abstract clones
- Adjunctions whose counits are coequalizers, and presentations of finitary enriched monads
- Finite-product-preserving functors, Kan extensions, and strongly-finitary 2-monads
- Variations on algebra: Monadicity and generalisations of equational theories
- Commutants for enriched algebraic theories and monads
- Universal algebra in a closed category
- On the monadicity of finitary monads
- Functional distribution monads in functional-analytic contexts
- V-cat and V-graph
- Monads and theories
- Lawvere theories enriched over a general base
- Monads on symmetric monoidal closed categories
- Kan extensions in enriched category theory
- Enriched algebraic theories and monads for a system of arities
- An Equational Metalogic for Monadic Equational Systems
- Enriched factorization systems
- An Algebraic Presentation of Predicate Logic
- A categorical view of varieties of ordered algebras
- Finitary monads on the category of posets
- Locally bounded enriched categories
- Monads need not be endofunctors
- Instances of Computational Effects: An Algebraic Perspective
- Term Equational Systems and Logics
- Algebra valued functors in general and tensor products in particular
- FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
- Presentations and algebraic colimits of enriched monads for a subcategory of arities
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