From relation to emulation: the covering lemma for transformation semigroups
Nehaniv, C.L.
(1996)
From relation to emulation: the covering lemma for transformation semigroups.
pp. 75-87.
ISSN 0022-4049
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.
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Date Deposited | 27 Jul 2024 00:36 |
Last Modified | 27 Jul 2024 00:36 |
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