2108_EJRNL_PP_JAMES_FRANCESE_1.pdf
Terbatas Dwi Ary Fuziastuti
» ITB
Terbatas Dwi Ary Fuziastuti
» ITB
This paper is devoted to the description of complex finite-dimensional algebras of level
two. We obtain the classification of algebras of level two in the variety of Leibniz algebras.
It is shown that, up to isomorphism, there exist three Leibniz algebras of level two, one of
which is solvable, and two of which are nilpotent. Moreover, we describe all algebras of
level two in the variety of nilpotent algebras.