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Hyperidentities and Related Concepts, I

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

This survey article illustrates many important cur-rent trends and perspectives for the field including classificationof hyperidentities, characterizations of algebras with hyperidenti-ties, functional representations of free algebras, structure resultsfor bigroups, categorical questions and applications. However,the paper contains new results and open problems, too.

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