abstract:In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that
The main purpose of this paper is to give astandardextensionofMalcevalgebras, andinvestigate the relationship on solvabilityandnilpotencybetween a Malcev algebra and its extension algebra.