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residuated lattice

algebraic structure that is both a lattice and a monoid, with operations x\z and z/y, analogous to division or implication, when the monoid operation is viewed as multiplication or conjunction, respectively
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residuated lattice

Summary

Key Facts

  • residuated lattice is a type of lattice[1].
  • residuated lattice is a type of monoid[2].

Body

Definition and Type

Recorded subclass of include lattice[1] and monoid[2].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). residuated lattice. Retrieved May 7, 2026, from https://4ort.xyz/entity/residuated-lattice
MLA “residuated lattice.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/residuated-lattice.
BibTeX @misc{4ortxyz_residuated-lattice_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{residuated lattice}}, year = {2026}, url = {https://4ort.xyz/entity/residuated-lattice}, note = {Accessed: 2026-05-07}}
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