Relative Maltsev Definability of some Commutator Properties

2022/02/21 by Keith A. Kearnes, Kearnes, Keith A.
Mathematics · #03C05 #08A30 #08B05 #Advanced Topology and Set Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2202.10009

openalex publication_date 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that, when restricted to the class of varieties that have a Taylor term, several commutator properties are definable by Maltsev conditions.

Related

• Towards Commutator theory for relations. IV
• The class of congruence meet semidistributive varieties is not strong Maltsev
• The relationship between two commutators
• Characterizing the commutator in varieties with a difference term
• Taylor term does not imply any nontrivial linear one-equality Maltsev\n condition