A Frattini Theory for Leibniz Algebras

DOI10.1080/00927872.2011.643844zbMath1272.17003arXiv1108.2451OpenAlexW2138017157WikidataQ57427223 ScholiaQ57427223MaRDI QIDQ4924097

Lindsey Bosko, John T. Hird, Chelsie Batten Ray, Kristen Stagg, Ernest L. Stitzinger, Allison McAlister

Publication date: 30 May 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2451

zbMATH Keywords

Lie algebraLeibniz algebraelementary algebraFrattini

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items

Lattice isomorphisms of Leibniz algebras, Unnamed Item, On the endomorphisms and derivations of some Leibniz algebras, Second-maximal subalgebras of Leibniz algebras, Leibniz \(A\)-algebras, 2-recognizable classes of Leibniz algebras, Complex cyclic Leibniz superalgebras, On theta pairs and theta completions for proper subalgebras in Leibniz algebras, Classifying several classes of Leibniz algebras, Frattini Properties and Nilpotency in Leibniz Algebras, On the nilradical of a Leibniz algebra, Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras, On the subalgebra lattice of a Leibniz algebra

Cites Work

• Jacobson's refinement of Engel's theorem for Leibniz algebras
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Elementary Lie algebras and Lie \(A\)-algebras
• On the theory of soluble Lie algebras
• On the cohomology of soluble Lie algebras
• On Cartan subalgebras of Lie algebras
• Frattini subalgebras of a class of solvable Lie algebras
• Some Theorems on Leibniz Algebras
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
• A Frattini Theory for Algebras
• Elementary Lie Algebras