On semimodular Mal'cev algebras

DOI10.1007/BF01190227zbMath0627.17012MaRDI QIDQ581524

Alberto Elduque

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

chain conditionssupersolvablelower semimodular lattice of subalgebrasnon-split central simple non-Lie Mal'cev algebrasupper semimodular

Mathematics Subject Classification ID

Mal'tsev rings and algebras (17D10)

Related Items

Modular Jordan nilalgebras ⋮ Quadratic alternative algebras ⋮ Colour algebras and Cayley–Dickson algebras

Cites Work

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• On the structure of simple-semiabelian Lie algebras
• Rank one Lie algebras
• Supersolvable Malcev algebras
• Modularity in Lie algebras
• Semimodular Lie algebras
• On Cartan subalgebras of Lie algebras
• On Nilpotent and Solvable Malcev Algebras
• Lie algebras whose maximal subalgebras are modular
• On Malcev algebras in which all subideals are ideals
• On supersolvable malcev algebras^∗
• On the Exceptional Central Simple Non-Lie Malcev Algebras