A fourfold type of peer review: by the chief editor; by public (open); by a foreign scientist, not affiliated with the author(s) of the article (a unilateral blind (anonymous) peer review with a full report in English); by scientists not affiliated with Al-Farabi Kazakh National University and the author(s) of the article (a unilateral blind (anonymous) peer review with a full report in English). In the case opinions of the reviewers (foreign and Kazakhstani) on the publication are divided, it is ultimately the science editor’s final decision.