Squares and rectangles in relation categories. Three cases: Semilattice, distributive lattice and Boolean non-unitary

DOI10.1016/0165-0114(94)00349-CzbMath0844.18002MaRDI QIDQ1914508

Jean-Pierre Olivier, Dany Serrato

Publication date: 16 July 1996

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

distributive latticesBoolean algebrasrelation algebrassemilatticesfuzzy relationsDedekind categoriesrectangle morphismssemilattice relation categoriesunitary allegories

Mathematics Subject Classification ID

Semilattices (06A12) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (17)

Type-n Arrow Categories ⋮ Dependencies in relational models of databases ⋮ Additive relation categories or algebras: MacLane, Hutchinson axioms and bi-modularity ⋮ Determinisation of relational substitutions in ordered categories with domain ⋮ Categories of relations for variable-basis fuzziness ⋮ Sharpness in the Fuzzy World ⋮ An Ordered Category of Processes ⋮ Relational properties of sequential composition of coalgebras ⋮ Relational algebraic approach to the real numbers the additive group ⋮ Representation theory of Goguen categories. ⋮ Categorical representation theorems of fuzzy relations ⋮ A relation algebraic approach to interaction categories ⋮ Products in categories of relations ⋮ Membership values in arrow categories ⋮ \(MP\)-algebras with relative types ⋮ Arrow categories ⋮ A new algebraic approach to L-fuzzy relations convenient to study crispness

Cites Work

• Relation algebras and Schröder categories
• Adjoining units to residuated Boolean algebras
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