Hyperidentities and Related Concepts, I

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Submitted: 2024-12-17; Published: 2024-12-17

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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.