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        From relation to emulation: the covering lemma for transformation semigroups

        Author
        Nehaniv, C.L.
        Attention
        2299/3172
        Abstract
        We define the kernel of a relational morphism of finite or infinite, faithful or non-faithful transformation semigroups. We prove the covering lemma for transformation semigroups, and a wreath product embedding theorem in terms of this kernel. Applications easily obtained using this new language include a global embedding theorem for right simple semigroups without idempotents, a proof of the Krohn-Rhodes theorem, and some results about transformation groups.
        Publication date
        1996
        Published in
        Journal of Pure and Applied Algebra
        Published version
        https://doi.org/10.1016/0022-4049(95)00030-5
        Other links
        http://hdl.handle.net/2299/3172
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