Literature Cited
E. J. Tully, “Representations of semigroups by transformations acting transitively on a set,” Amer. J. Math.,83, 533–541 (1961).
B. M. Shain, “Transitive representations of semigroups,” Usp. Mat. Nauk,18, No. 3 (111), 215–222 (1963).
I. S. Ponizovskii, “Representations of inverse semigroups by partial one-to-one transformations,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, No. 5, 989–1002 (1964).
I. S. Ponizovskii, “Transitive representations as transformations of semigroups from a certain class,” Sib. Mat. Zh.,5, No. 4, 896–903 (1964).
B. M. Shain, “On transitive representations of inverse semigroups, satisfying a minimal condition,” Eleventh All-Union Algebraic Collection, Summary of Reports and Sessions [in Russian], Kishinev (1971), p. 229.
E. S. Lyapin, Semigroups [in Russian], Fizmatgiz, Moscow (1960).
A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, American Mathematical Society, Providence (1961).
I. S. Ponizovskii, “O-stable right equivalences on completely simple semigroups,” Theory of Semigroups and Its Applications [in Russian], Vol. 1, Saratov (1965), pp. 262–278.
L. M. Gluskin, “Completely simple semigroups,” Uch. Zap. Khar'k. Ped. In-ta,18, 41–55 (1956).
I. S. Ponizovskii, “Some remarks on representations of semigroups and semigroup algebras,” Twenty-fourth Hertz Readings, Brief Contents of Papers [in Russian], Leningrad (1971), pp. 22–23.
A. I. Mal'tsev, “Symmetric groupoids,” Mat. Sb.,31, 136–151 (1952).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 1, pp. 178–184, January–February, 1973.
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Ponizovskii, I.S. Some equivalences connected with transitive representations of semigroups. Sib Math J 14, 125–130 (1973). https://doi.org/10.1007/BF00967272
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DOI: https://doi.org/10.1007/BF00967272