Groupoids, idempotents and pointwise inverses in relational categories

DOI10.1016/0022-4049(85)90061-1zbMath0555.18002OpenAlexW2005005530MaRDI QIDQ760494

Jean-Pierre Olivier, Dany Serrato, Christian Mallol

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90061-1

zbMATH Keywords

idempotentsregular elementsDedekind categoriesregular morphismcircuitless morphismGuttman-Ferrers morphismsidempotent categorymorphisms between total ordersrelational algebrasrelational categories

Mathematics Subject Classification ID

Total orders (06A05) Preorders, orders, domains and lattices (viewed as categories) (18B35) Categories of algebras (08C05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (1)

Peirce allegories. Identities involving transitive elements and symmetrical ones

Cites Work

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• Groups of binary relations
• On the graphs of finite idempotent Boolean relation matrices
• A construction for idempotent binary relations
• Generalized Inverses of Boolean Relation Matrices
• On idempotent binary relations on a finite set

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