Vaughan-Lee's nilpotent loop of size 12 is finitely based

DOI10.1007/s00012-023-00832-6arXiv2206.06136OpenAlexW4388659458MaRDI QIDQ6183433

Peter Mayr

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2206.06136

zbMATH Keywords

finite basis problemsubpower membership problemnilpotent Mal'cev algebra

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Equational logic, Mal'tsev conditions (08B05) Operations and polynomials in algebraic structures, primal algebras (08A40)

Cites Work

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• Some applications of higher commutators in Mal'cev algebras
• Laws in finite loops
• Identical relations in finite groups
• THE SUBPOWER MEMBERSHIP PROBLEM FOR MAL'CEV ALGEBRAS
• Algebras, Lattices, Varieties
• Tractability and Learnability Arising from Algebras with Few Subpowers
• Contributions to the Theory of Loops
• Congruence modular varieties with small free spectra

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