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On F-semigroups with three generators

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Abstract

All F-semigroups (i.e., semigroups isomorphic to finitely generated subsemigroups of a free semigroup) with three generators are finitely defined. The necessary and sufficient condition is obtained for which the equation in the words Zn =ϕ (X, Y) has a nontrival solution.

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Literature cited

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Authors and Affiliations

  1. N. I. Lobachevskii Gor'kii State University, USSR

    L. G. Budkina & Al. A. Markov

Authors
  1. L. G. Budkina
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  2. Al. A. Markov
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Additional information

Translated from Matematicheskie Zametki, Vol. 14, No. 2, pp. 267–277, August, 1973.

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Budkina, L.G., Markov, A.A. On F-semigroups with three generators. Mathematical Notes of the Academy of Sciences of the USSR 14, 711–716 (1973). https://doi.org/10.1007/BF01147120

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  • DOI: https://doi.org/10.1007/BF01147120

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