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Complements in lattices of varieties and equational theories

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Publication:1333290
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DOI10.1007/BF01236502zbMath0803.06007OpenAlexW2051180389MaRDI QIDQ1333290

V. Diercks, Marcel Erné, Jürgen Reinhold

Publication date: 13 September 1994

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236502


zbMATH Keywords

lattices of equational theoriescomplemented latticeslower semicomplemented lattices


Mathematics Subject Classification ID

Lattices of varieties (08B15) Equational logic, Mal'tsev conditions (08B05) Complemented lattices, orthocomplemented lattices and posets (06C15)


Related Items (2)

Lattices of semigroup varieties ⋮ The lattice of varieties of monoids



Cites Work

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  • A property of the lattice of equational theories
  • Weak distributive laws and their role in lattices of congruences and equational theories
  • Further properties of lattices of equational theories
  • Semicomplements in lattices of varieties
  • Intervals in the lattice of varieties
  • Lattices of equational theories are congruence lattices of monoids with one additional unary operation


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