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On a question of Pollák and Volkov regarding hereditarily finitely based identities

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Abstract

A semigroup identity is alternating if it is formed by a simple word and an almost simple word. A complete description of all hereditarily finitely based, alternating identities is presented. This answers a question of György Pollák and Mikhail V. Volkov posted in the 1980s.

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Acknowledgments

The author is grateful to the anonymous reviewer for suggestions, and to Mikhail V. Volkov for information on heterotypical, alternating identities.

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  1. Division of Math, Science, and Technology, Nova Southeastern University, Fort Lauderdale, FL, 33314, USA

    Edmond W. H. Lee

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  1. Edmond W. H. Lee
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Correspondence to Edmond W. H. Lee.

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Lee, E.W.H. On a question of Pollák and Volkov regarding hereditarily finitely based identities. Period Math Hung 68, 128–134 (2014). https://doi.org/10.1007/s10998-014-0018-3

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