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A class of semigroups embeddable in groups

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Abstract

Simple conditions are given in this paper that are sufficient to ensure the embeddability of a semigroup in a group. It is shown that the class of semigroups satisfying the conditions properly contains the class of all cancellative left quasi-reversible semigroups.

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References

  1. Malcev, A.I. “On the immersion of associative systems in groups”, Rec. Math. Mat. Sbornik (N.S.) 6(1939), 331–336.

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Authors and Affiliations

  1. The University of Tasmania, Hobart, Tasmania, Australia

    P. G. Trotter

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  1. P. G. Trotter
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Trotter, P.G. A class of semigroups embeddable in groups. Semigroup Forum 5, 1–13 (1972). https://doi.org/10.1007/BF02572871

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  • DOI: https://doi.org/10.1007/BF02572871

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