Weak distributive laws and their role in lattices of congruences and equational theories

DOI10.1007/BF01229979zbMath0663.06005MaRDI QIDQ1114722

Marcel Erné

Publication date: 1988

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

zbMATH Keywords

prime elementsalgebraic latticelattice of equational theoriescompletely join- irreducible top elementdistributive laws in arbitrary lattices

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Equational logic, Mal'tsev conditions (08B05) Structure theory of lattices (06B05)

Related Items (10)

A perspective on algebraic representations of lattices ⋮ Complements in lattices of varieties and equational theories ⋮ Congruences, equational theories and lattice representations ⋮ Distributivity conditions and the order-skeleton of a lattice ⋮ Further properties of lattices of equational theories ⋮ LATTICES OF QUASI-EQUATIONAL THEORIES AS CONGRUENCE LATTICES OF SEMILATTICES WITH OPERATORS: PART I ⋮ Semidistributivity, prime ideals and the subbase lemma ⋮ On the prevariety of perfect lattices ⋮ Primes, irreducibles and extremal lattices ⋮ Weak distributive laws and their role in free lattices

Cites Work

• A property of the lattice of equational theories
• Lattice varieties covering the smallest non-modular variety
• Some applications of the term condition
• Congruence lattices of algebras of fixed similarity type. I
• Congruence Relations in Semi-Lattices
• Sublattices of a Free Lattice
• Unnamed Item
• Unnamed Item

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