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On the elementary theory of free inverse semigroups. (English) Zbl 0299.20050

MSC:
20M10 General structure theory for semigroups
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[1] Eršov, Ju. L., J.A. Lavrov, A.D. Taimanov, and M.A. Taiclin,Elementary theories, Uspehi Mat. Nauk 20 (1965), 37–108, (in Russian).
[2] 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).
[3] Kleiman, E.J.,On free inverse semigroups, Matem. Zapiski Ural. Gos. Univ. 8 (1972), 69–72, (in Russian).
[4] Gluskin, L.M.,Elementary generalized groups, Mat. Sbornik 41 (1957), 23–36, in Russian). · Zbl 0208.03004
[5] Taiclin, M.A.,On the theory of finite rings with division, Algebra i Logika 4 (1965), 103–114. (in Russian).
[6] Clifford, A.M. and G.B. Preston,The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7, Amer. Math. Soc. Providence, 1961. · Zbl 0111.03403
[7] Scheiblich, J.E.,A characterization of a free elementary inverse semigroup, Semigroup Forum 2 (1971), 76–79. · Zbl 0226.20064
[8] Reilly, N.R.,Free generators in free inverse semigroups, Bull. Austral. Math. Soc. 7 (1972), 404–424. Corrigenda, ibid. 9(1973), 479–480. · Zbl 0238.20077
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