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<p>The problem of determinability for free algebras in a given variety was posed by B. I. Plotkin in his lectures on universal algebraic geometry. This problem has been solved for free groups by E. Formanek, and for free semigroups and free monoids by G.&#xa0;Mashevitsky and B.&#xa0;M. Schein. We solve the determinability problem for free strict <i>n</i>-tuple semigroups as a natural generalization of free semigroups.</p>

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Free strict n-tuple semigroups are determined by their endomorphism semigroups

  • 期刊论文

  • 发表日期：

    2025年8月30日

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  • Anatolii V. Zhuchok

摘要

The problem of determinability for free algebras in a given variety was posed by B. I. Plotkin in his lectures on universal algebraic geometry. This problem has been solved for free groups by E. Formanek, and for free semigroups and free monoids by G. Mashevitsky and B. M. Schein. We solve the determinability problem for free strict n-tuple semigroups as a natural generalization of free semigroups.