“…There are many results related to the algebraic and geometric classification of low dimensional algebras in the varieties of Jordan, Lie, Leibniz and Zinbiel algebras; for the algebraic classification see, for example, [1], [6], [7], [8], [9], [19], [22]; for the geometric classification and descriptions of degenerations see, for example, [1], [2], [3], [5], [11], [12], [13], [16], [17], [19], [21], [22], [23], [26]. Here we give the algebraic and geometric classification of complex dual mock-Lie algebras of small dimensions.…”