An equational theory for a nilpotent \(A\)-loop.

DOI10.1007/S10469-010-9099-0zbMath1255.20059OpenAlexW1992143077MaRDI QIDQ694201

V. I. Ursu, A. V. Kowalski

Publication date: 11 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9099-0

zbMATH Keywords

word problemequational theoriesvarieties of loopsnilpotent \(A\)-loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Equational logic, Mal'tsev conditions (08B05)

Related Items (1)

A correspondence between commutative rings and Jordan loops

Cites Work

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• Loops whose inner mappings are automorphisms
• Identities and relations in commutative Moufang loops
• Identical relations in finite groups
• Varieties of groups
• Two Notes on Nilpotent Groups
• The decision problem for some classes of sentences without quantifiers

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