Residuated lattice

id: residuated-lattice-264-14284850
title: Residuated lattice
text: In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x ≤ y and a monoid x•y which admits operations x\z and z/y, loosely analogous to division or implication, when x•y is viewed as multiplication or conjunction, respectively. Called respectively right and left residuals, these operations coincide when the monoid is commutative. The general concept was introduced by Morgan Ward and Robert P. Dilworth in 1939. Examples, some of which existed prior to
brand slug: wiki
category slug: encyclopedia
description: In mathematics, an algebraic structure
original url: https://en.wikipedia.org/wiki/Residuated_lattice
date created:
date modified: 2023-10-12T02:42:20Z
main entity: {"identifier":"Q9462417","url":"https://www.wikidata.org/entity/Q9462417"}
image:
fields total: 13
integrity: 14

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