On the property of subalgebras of Evolution algebras
  In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras. 
L.M. Camacho, A.Kh. Khudoyberdiyev, B.A. Omirov
math.RA