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Free inverse semigroups. (English) Zbl 0256.20079


MSC:

20M10 General structure theory for semigroups
20M05 Free semigroups, generators and relations, word problems
20M20 Semigroups of transformations, relations, partitions, etc.
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References:

[1] A. H. Clifford and G. B. Preston, The algebraic theory of semigroups. Vol. I, Mathematical Surveys, No. 7, American Mathematical Society, Providence, R.I., 1961. · Zbl 0111.03403
[2] Carl Eberhart and John Selden, One-parameter inverse semigroups, Trans. Amer. Math. Soc. 168 (1972), 53 – 66. · Zbl 0257.20050
[3] D. B. McAlister, A homomorphism theorem for semigroups, J. London Math. Soc. 43 (1968), 355 – 366. · Zbl 0155.04101
[4] A. G. Kurosh, The theory of groups, Chelsea Publishing Co., New York, 1960. Translated from the Russian and edited by K. A. Hirsch. 2nd English ed. 2 volumes. · Zbl 0094.24501
[5] V. V. Vagner, Generalized heaps and generalized groups with the transitive relation of compatibility, Učen. Zap. Saratov. Gos. Univ. Ser. Meh-Mat. 70 (1961), 25-39. (Russian)
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