ANALOGUES OF THE FRATTINI SUBALGEBRA

Yıl 2011, Cilt: 9 Sayı: 9, 124 - 132, 01.06.2011

Kristen Stagg

Öz

For a Lie algebra, L, the Frattini subalgebra F(L) is the intersection
of all maximal subalgebras of L. We develop two analogues of the Frattini
subalgebra, namely nF rat(L) and R(L). Specifically, we develop properties
involving non-generators, containment relations, and nilpotency.

Anahtar Kelimeler

Frattini subalgebra, maximal ideals, non-generators

Kaynakça

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• Department of Mathematics North Carolina State University Raleigh, NC USA e-mail: [e-mail]