  This paper is a natural continuation of paper "On rectifiable spaces and its
algebraical equivalents, topological algebraic systems and Mal'cev algebras"
published in arxiv:1309.4572. Thus we justify the need to present the entire
material in an unified manner. This paper is the continuation of Section 6 from
the first paper. It specifies and corrects the roughest mistakes, incorrect
statements and nonsense of the introduced concepts, which are available in
numerous papers on topological algebraic systems, basically in papers of
Academician Choban M. M. and his disciples.
