Algebraic Quasi – fractal Models Transfer Method

Mathematics develops along the path of searching for analogies and building generalizations. Realization in practice of this idea is, in fact, models transfer and their summarizing. So, methods and models to find and construct such generalizations are of great importance. Transfer of models is a method that helps in searching, substantiating, constructing generalizations and implementing the obtained results from one area of ​​research, both theoretical and practical, to another, based on analogies and the use of mathematical methods. In this paper we consider model transfer scheme for Cantor-Schroeder-Bernstein theorem based on quasi – fractal technic to summarize and clarify classification results on Abelian torsion free groups of finite ranks.