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1994 The Presidium of the Adyghe (Circassian) International Academy of Sciences and the Academic Council of the Research Institute of Applied Mathematics and Automation of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences decides to publish the journal “Reports of the Adyghe (Circassian) International Academy of Sciences”.
The frequency was 2 times a year.
From 2010 to 2015, the journal was included in the list of periodicals approved by the Higher Attestation Committee of the Russian Federation for the publication of the main scientific results of a dissertation for the degree of doctor and candidate of science in all scientific specialties.
Since 2014, the periodicity of the Journal has been 4 issues per year.
In 2016, the issue of numbers was suspended for technical reasons.
In 2019, the publication of the Journal was resumed.

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