Weak (projective) radius and finite equational bases for classes of lattices

DOI10.1007/BF02945103zbMath0288.06008MaRDI QIDQ1846439

Christian Herrmann

Publication date: 1973

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

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Modular lattices, Desarguesian lattices (06C05) Varieties (08B99)

Related Items (13)

Inherently nonfinitely based lattices ⋮ An approach to lattice varieties of finite height ⋮ Ultraproducts preserve finite subdirect reducibility ⋮ Congruence varieties ⋮ A finite base for \(M^ n\) and maximal projective distance in \(M^ n\). ⋮ Finite bases for finitely generated, relatively congruence distributive quasivarities ⋮ Sums of finitely based lattice varieties ⋮ Finite equational bases for finite algebras in a congruence-distributive equational class ⋮ Primitive Satisfaction and Equational Problems for Lattices and Other Algebras ⋮ A proof of Baker's finite-base theorem on equational classes generated by finite elements of congruence distributive varieties ⋮ Nondefinability of projectivity in lattice varieties ⋮ Lattices of width three generate a nonfinitely based variety ⋮ Varieties generated by lattices of breadth two

Cites Work

• Covering relations among lattice varieties
• Equational classes of lattices
• Equational classes of modular lattices
• Primitive subsets of lattices
• Arguesian Lattices of Dimension $n\leqq 4$.
• Primitive Satisfaction and Equational Problems for Lattices and Other Algebras
• Equational Bases for Lattice Theories.
• Equational axioms for classes of lattices
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