Products of lattice varieties

DOI10.1007/BF01187554zbMath0587.06002MaRDI QIDQ1072578

George Grätzer, David Kelly

Publication date: 1985

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

zbMATH Keywords

complete latticesdistributive latticesembedding theoremcongruencefinite latticeultraproductsproducts of varietiesdimension for lattice varietiesdimension formula for productsideal- and filter-latticeslattice varieties

Mathematics Subject Classification ID

Lattices of varieties (08B15) Lattice ideals, congruence relations (06B10) Products, amalgamated products, and other kinds of limits and colimits (08B25) Varieties of lattices (06B20)

Related Items (6)

Bjarni Jónsson's contributions in algebra ⋮ Projective geometries as cover-preserving sublattices ⋮ Subsystems and Automorphisms of Some Finite Magmas of Order k + k2 ⋮ Isotone maps on lattices ⋮ Sums of lattices and a relational category ⋮ Pasting and Modular Lattices

Cites Work

• Splitting lattices generate all lattices
• The arithmetical theory of Birkhoff lattices
• Subdirectly Irreducible Members of Products of Lattice Varieties
• Varieties of groups
• Algebras Whose Congruence Lattices are Distributive.
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