References
Eršov, Ju. L., J.A. Lavrov, A.D. Taimanov, and M.A. Taiclin,Elementary theories, Uspehi Mat. Nauk 20 (1965), 37–108, (in Russian).
Schein, B.M.,On the theory of generalized groups and generalized grouds, in “Theory of semigroups and its applications”, Saratov, issue 1 (1965), 286–324, (in Russian).
Kleiman, E.J.,On free inverse semigroups, Matem. Zapiski Ural. Gos. Univ. 8 (1972), 69–72, (in Russian).
Gluskin, L.M.,Elementary generalized groups, Mat. Sbornik 41 (1957), 23–36, in Russian).
Taiclin, M.A.,On the theory of finite rings with division, Algebra i Logika 4 (1965), 103–114. (in Russian).
Clifford, A.M. and G.B. Preston,The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. Providence, 1961.
Scheiblich, J.E.,A characterization of a free elementary inverse semigroup, Semigroup Forum 2 (1971), 76–79.
Reilly, N.R.,Free generators in free inverse semigroups, Bull. Austral. Math. Soc. 7 (1972), 404–424. Corrigenda, ibid. 9(1973), 479–480.
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Communicated by B. M. Schein
Dedicated to Professor E. S. Ljapin on the occasion of his 60th birthday.
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Važenin, J.M. On the elementary theory of free inverse semigroups. Semigroup Forum 9, 189–195 (1974). https://doi.org/10.1007/BF02194849
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DOI: https://doi.org/10.1007/BF02194849