Lattices of subclasses

DOI10.1134/S003744661205014XzbMath1282.08006OpenAlexW2065129997MaRDI QIDQ1937753

Anna Zamojska-Dzienio, M. V. Schwidefsky

Publication date: 31 January 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661205014x

zbMATH Keywords

complete latticevarietyquasivarietymeet semilatticeaxiomatizable classprevariety

Mathematics Subject Classification ID

Lattices of varieties (08B15) Complete lattices, completions (06B23) Quasivarieties (08C15) Semilattices (06A12) Axiomatic model classes (08C10)

Related Items (8)

Lattices of subclasses. III ⋮ Complexity of quasivariety lattices. ⋮ On the complexity of the lattices of subvarieties and congruences ⋮ On representation of finite lattices ⋮ On the complexity of quasivariety lattices ⋮ Lattices of subclasses. II ⋮ On the complexity of the lattices of subvarieties and congruences. II: Differential groupoids and unary algebras ⋮ Quasivariety lattices of pointed abelian groups.

Cites Work

• On lattices embeddable into lattices of order-convex sets. II: Star-like posets
• Equivalents of the axiom of choice. 2nd ed
• A class of lattices of quasivarities
• On finite lattices which are embeddable in subsemigroup lattices
• Finite quasivarieties and self-referential conditions
• Open questions related to the problem of Birkhoff and Maltsev
• Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. I
• Structure of lattices of varieties and lattices of quasivarieties: Similarity and difference. II
• UNREASONABLE LATTICES OF QUASIVARIETIES
• Lattices embeddable in subsemigroup lattices. I. Semilattices
• On Using the Join Operation to Define Classes of Algebras
• Lattices of Relatively Axiomatizable Classes
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