Critical points between varieties generated by subspace lattices of vector spaces

DOI10.1016/j.jpaa.2009.10.013zbMath1190.08001arXiv0809.4323OpenAlexW2070530379MaRDI QIDQ2268575

Pierre Gillibert

Publication date: 8 March 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4323

zbMATH Keywords

critical pointmodular latticesfinitely generated varietysemilattice of compact congruences

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Varieties of lattices (06B20)

Related Items (8)

Diagram induced properties of congruence lattices ⋮ The possible values of critical points between varieties of lattices ⋮ Infinite combinatorial issues raised by lifting problems in universal algebra ⋮ The possible values of critical points between strongly congruence-proper varieties of algebras ⋮ An infinite combinatorial statement with a poset parameter ⋮ CONGRUENCE FD-MAXIMAL VARIETIES OF ALGEBRAS ⋮ Categories of partial algebras for critical points between varieties of algebras. ⋮ Uncountable critical points for congruence lattices

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• A uniform refinement property for congruence lattices
• Congruence lattices of free lattices in non-distributive varieties
• Separation properties in congruence lattices of lattices

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