New closure conditions and some problems in loop theory

DOI10.1007/BF02227442zbMath0719.20037MaRDI QIDQ2639973

Alexander M. Shelekhov

Publication date: 1991

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137393

zbMATH Keywords

\(A_ r\)-loopA\({}_{\ell }\)-loopgeometricity identityloop-isotopesoduleright Bol-loop

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Other topological algebraic systems and their representations (22A30) Differential geometry of webs (53A60) Configuration theorems in linear incidence geometry (51A20) Algebraization in linear incidence geometry (51A25)

Related Items (3)

Complete classification of isotopically invariant varieties of analytic loops defined by regular identities of length four ⋮ Unnamed Item ⋮ Algebra and geometry of three-webs composed of foliations of different dimensions

Cites Work

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• Loops whose inner mappings are automorphisms
• On the Thomsen condition for webs
• Geometry of homogeneous Lie loops
• Quasigroups, nets, and nomograms
• Bol Loops

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