Schunck classes of soluble Leibniz algebras

Abstract

I set out the theory of Schunck classes and projectors for soluble Leibniz algebras, parallel to that for Lie algebras. Primitive Leibniz algebras come in pairs, one (Lie) symmetric, the other antisymmetric. A Schunck formation containing one member of a pair also contains the other. Projectors for a Schunck formation are intravariant.

19 pages. Where old work on Lie algebras extends unchanged to Leibniz algebras, the proofs have been omitted. Corrects typos, gives a neater proof of Theorem 1.14 (now Theorem 1.10) and corrects an error in the proof of Theorem 6.8

References in corpus (3)

• Engel subalgebras of Leibniz algebras
• Subnormal subalgebras of Leibniz algebras
• Jacobson's Refinement of Engel's Theorem for Leibniz Algebras

Cited by in corpus (2)

• Some radicals, Frattini and Cartan Subalgebras of Leibniz n-algebras
• Lattices of subalgebras of Leibniz algebras