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Structural isomorphisms of finitely defined semigroups

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Abstract

In this paper we find the conditions such that from the form of the defining relations we can form a view of the structural definability of the semigroup specified by these defining relations.

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Literature cited

  1. E. S. Lyapin, Semigroups [in Russian], Moscow (1960).

  2. L. N. Shevrin, “The structural-subsemigroup characteristics of commutative nonperiodic groups,” Sibirsk. Matem. Zh.,5, 671–678 (1964).

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  3. L. N. Shevrin and V. A. Baranskii, “Structural isomorphism of semigroups which can be expanded in a free product,” Matem. Sb.,71 (113), No. 2, 236–250 (1966).

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  4. S. I. Adyan, “Defining relations and algorithmic problems for groups and semigroups,” Trudy Matem. In-ta Akad. Nauk SSSR,85 (1966).

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Translated from Matematicheskie Zametki, Vol. 12, No. 5, pp. 591–600, November, 1972.

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Baranskii, V.A. Structural isomorphisms of finitely defined semigroups. Mathematical Notes of the Academy of Sciences of the USSR 12, 791–796 (1972). https://doi.org/10.1007/BF01099067

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  • DOI: https://doi.org/10.1007/BF01099067

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