ANALOGUES OF THE FRATTINI SUBALGEBRA

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International Electronic Journal of Algebra
Volume:9 Issue:9
ANALOGUES OF THE FRATTINI SUBALGEBRA

ANALOGUES OF THE FRATTINI SUBALGEBRA

Authors : Kristen Stagg

Pages : 124-132

View : 16 | Download : 9

Publication Date : 2011-06-01

Article Type : Research Paper

Abstract :For a Lie algebra, L, the Frattini subalgebra Finsert ignore into journalissuearticles values(L); is the intersection of all maximal subalgebras of L. We develop two analogues of the Frattini subalgebra, namely nF ratinsert ignore into journalissuearticles values(L); and Rinsert ignore into journalissuearticles values(L);. Specifically, we develop properties involving non-generators, containment relations, and nilpotency.
Keywords : Frattini subalgebra, maximal ideals, non generators

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