Supernilpotence need not imply nilpotence

DOI10.1016/j.jalgebra.2019.07.002zbMath1437.08003arXiv1808.04858OpenAlexW2887718479WikidataQ127555805 ScholiaQ127555805MaRDI QIDQ2314990

Yanyan Li

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1808.04858

zbMATH Keywords

nilpotent algebrasolvable algebrasupernilpotent algebra

Mathematics Subject Classification ID

Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40) Congruence modularity, congruence distributivity (08B10)

Related Items

Higher commutators in semigroups with zero ⋮ Supernilpotent Taylor algebras are nilpotent ⋮ Is supernilpotence super nilpotence? ⋮ The descending central series of higher commutators for simple algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A relational description of higher commutators in Mal'cev varieties
• Some applications of higher commutators in Mal'cev algebras
• Mal'cev varieties
• On supernilpotent algebras
• Higher commutator theory for congruence modular varieties
• Geometrical methods in congruence modular algebras
• The weakest nontrivial idempotent equations
• The equation solvability problem over supernilpotent algebras with Mal’cev term
• The shape of congruence lattices
• Supernilpotent Taylor algebras are nilpotent
• Satisfiability in multi-valued circuits
• Two Notes on Nilpotent Groups
• Congruence modular varieties with small free spectra