Complete classification of isotopically invariant varieties of analytic loops defined by regular identities of length four

DOI10.3103/S1066369X17030070zbMath1391.53014OpenAlexW2593405347MaRDI QIDQ2399431

Alexander M. Shelekhov

Publication date: 23 August 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17030070

zbMATH Keywords

webregular identitiesBol webisotopic loopsisotopic mappingsisotopically invariant variety of loops with identitylocal smooth \(r\)-dimensional loopslocal smooth \(r\)-dimensional quasi groupsuniversal identities

Mathematics Subject Classification ID

Differential geometry of webs (53A60) Pencils, nets, webs in algebraic geometry (14C21)

Cites Work

• Classification of multidimensional three-webs by closure conditions
• Quasigroups, nets, and nomograms
• Balanced identities in algebras of quasigroups
• The varieties of quasigroups of Bol-Moufang type: an equational reasoning approach.
• The varieties of loops of Bol-Moufang type.
• New closure conditions and some problems in loop theory
• Isotopy Invariants in Quasigroups
• Quasi-Groups Which Satisfy Certain Generalized Associative Laws
• Contributions to the Theory of Loops
• Some Results in the Theory of Linear Non-Associative Algebras
• Quasigroups. I
• Quasigroups. II
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