Many Faces of Lattice Tolerances

DOI10.18778/0138-0680.48.4.03zbMath1446.06009OpenAlexW3005938959MaRDI QIDQ5126199

Joanna Grygiel

Publication date: 15 October 2020

Published in: Bulletin of the Section of Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18778/0138-0680.48.4.03

zbMATH Keywords

latticetolerancecongruencecovering systemgluing

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30)

Cites Work

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• Tolerances as images of congruences in varieties defined by linear identities
• Tolerance spaces: origins, theoretical aspects and applications
• Lattice tolerances and congruences
• Notes on tolerance relations of lattices: A conjecture of R. N. McKenzie
• Gluings of modular lattices
• Non-Arguesian configurations and gluings of modular lattices
• Alan Day's work on modular and arguesian lattices
• Independent joins of tolerance factorable varieties
• On the tolerance lattice of tolerance factors
• S-verklebte Summen von Verbänden
• Rough sets determined by tolerances
• Lattices with unique irreducible decompositions
• Tolerance relations on lattices
• The structure of finite algebras
• On existence conditions for compatible tolerances
• VARIETIES WHOSE TOLERANCES ARE HOMOMORPHIC IMAGES OF THEIR CONGRUENCES
• Algebras Whose Congruence Lattices are Distributive.

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