Definable principal congruences and solvability

DOI10.1016/j.apal.2008.09.019zbMath1166.08001OpenAlexW1966402460MaRDI QIDQ1001911

Emil W. Kiss, Paweł M. Idziak, Keith A. Kearnes, Matthew A. Valeriote

Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.apal.2008.09.019

zbMATH Keywords

abelian varietytame congruence theorylocally finite varietysolvable algebrasdefinable principal congruencesright (strongly) nilpotent congruencesolvable congruencestwin group

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Congruence modularity, congruence distributivity (08B10) Products, amalgamated products, and other kinds of limits and colimits (08B25) Interpolation, preservation, definability (03C40)

Cites Work

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• Definable Principal Congruences and R-Stable Identities
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• The structure of finite algebras
• AN ORDER-THEORETIC PROPERTY OF THE COMMUTATOR
• Finite Rings in Varieties with Definable Principal Congruences
• An Easy Way to Minimal Algebras
• Varieties of Rings with Definable Principal Congruences
• Congruence modular varieties with small free spectra

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