The Tschantz and the Alvin higher conditions are equivalent in congruence distributive varieties

DOI10.1007/s00012-020-00697-zOpenAlexW3113405545MaRDI QIDQ2226975

Paolo Lipparini

Publication date: 9 February 2021

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

Full work available at URL: https://doi.org/10.1007/s00012-020-00697-z

zbMATH Keywords

congruence modular varietycongruence identitycongruence distributive varietyhigher Alvin termsTschantz terms

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Congruence modularity, congruence distributivity (08B10)

Cites Work

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• An easy test for congruence modularity
• Congruence modularity is permutability composed with distributivity
• The Jónsson distributivity spectrum
• The Gumm level equals the Alvin level in congruence distributive varieties
• ON THE COMPLEXITY OF SOME MALTSEV CONDITIONS
• Algebras Whose Congruence Lattices are Distributive.
• A Characterization of Modularity for Congruence Lattices of Algebras*

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