Dimension filtration on loops.

DOI10.1007/s11856-007-0005-yzbMath1146.20052arXivmath/0410516OpenAlexW2963752995MaRDI QIDQ995356

Jacob Mostovoy, José María Pérez-Izquierdo

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410516

zbMATH Keywords

augmentation idealslower central seriesSabinin algebrasprimitive operationsAkivis algebrasdimension series of loops

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Loops, quasigroups (20N05) Derived series, central series, and generalizations for groups (20F14) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other nonassociative rings and algebras (17D99)

Related Items (6)

Generalizations of Lie algebras ⋮ Nilpotent Sabinin algebras ⋮ On torsion-free nilpotent loops ⋮ The loop of formal power series with noncommutative coefficients under substitution ⋮ Hopf algebras in non-associative Lie theory ⋮ Half-isomorphisms of Finite Automorphic Moufang Loops

Cites Work

• Free Akivis algebras, primitive elements, and hyperalgebras
• On the associated graded ring of a group ring
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