On ideals and contraideals in Leibniz algebras

Abstract

Let L be an algebra over a field F with the binary operations + and [ , ]. Then L is called a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the (left) Leibniz identity

On the endomorphisms and derivations of some Leibniz algebras

“…A lot has already been done in this direction. We will not review the related results here, we simply link to the surveys [6,7] and the papers [8][9][10][11][12][13][14][15][16][17][18]. When studying Leibniz algebras, the information about the endomorphisms and derivations of a Leibniz algebra is quite useful.…”