Abstract
Up to isomorphism, there exist two non-isomorphic two-element monoids. We show that the identities of the free product of every pair of such monoids admit no finite basis.
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The author acknowledges support from the Ministry of Science and Higher Education of the Russian Federation, project no. 1.580.2016, the Competitiveness Program of Ural Federal University, and the Russian Foundation for Basic Research, project no. 17-01-00551.
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Volkov, M.V. The identities of the free product of a pair of two-element monoids. Algebra Univers. 80, 14 (2019). https://doi.org/10.1007/s00012-019-0587-3
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DOI: https://doi.org/10.1007/s00012-019-0587-3