Definition of Residuated. Meaning of Residuated. Synonyms of Residuated

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Definition of Residuated

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Meaning of Residuated from wikipedia

- Boolean algebras, Heyting algebras, residuated Boolean algebras, relation algebras, and MV-algebras. Residuated semilattices omit the meet operation...
- (One speaks only of residuated algebra for higher arities). A binary (or higher arity) residuated map is usually not residuated as a unary map. If A...
- "substructural logics", which is now in use today. Substructural type system Residuated lattice F. Paoli (2002), Substructural Logics: A Primer, Kluwer. G. Restall...
- residual property The residual function attached to a residuated mapping Residual in a residuated lattice, loosely analogous to division Residue (complex...
- In mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean algebras...
- von Neumann algebras). Quantales are sometimes referred to as complete residuated semigroups. A quantale is a complete lattice Q {\displaystyle Q} with...
- In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation...
- algebraic logic, an action algebra is an algebraic structure which is both a residuated semilattice and a Kleene algebra. It adds the star or reflexive transitive...
- Stone. Similarly, the Dedekind–MacNeille completion of a residuated lattice is a complete residuated lattice. However, the completion of a distributive lattice...
- adjoint if and only if  f  is a residuated mapping (respectively residual mapping). Therefore, the notion of residuated mapping and monotone Galois connection...