Contents V.10, N.2, 2019

  • CLASSIFICATION OF A FAMILY OF THREE DIMENSIONAL REAL EVOLUTION ALGEBRAS
    A.N. IMOMKULOV (pp. 225-238)

    • Abstract.

    In this paper we classify a family of three-dimensional real evolution algebras. We also consider an evolution operator for an evolution algebra and fi nd fixed points of this operator for two and three-dimensional cases. Then we construct an evolution algebra, the matrix of structural constants of which is Jacobian of the evolution operator at a fi xed point. We study isomorphism between these evolution algebras.

    Keywords:

    evolution algebra, evolution operator, isomorphism, Jacobian,fixed point.

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN