ieja

International Electronic Journal of Algebra

1306-6048

Abdullah HARMANCI

ANALOGUES OF THE FRATTINI SUBALGEBRA

Stagg

Kristen

06 01 2011

9 9 124 132 06 01 2011

2007

International Electronic Journal of Algebra

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.

Frattini subalgebra maximal ideals non-generators

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Department of Mathematics North Carolina State University Raleigh, NC USA e-mail: klstagg@ncsu.edu