Geodesic
On the frame of an automaton
Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 98-99
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The frame of an automaton is the partially ordered set of its strongly connected subsets together with the relation of inverse attainability. Some properties of frames are established related to basic algebraic constructions such as subautomata, homomorphisms, and congruences. 
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V. N. Salii. On the frame of an automaton. Prikladnaâ diskretnaâ matematika, no. 12 (2010), pp. 98-99. http://geodesic.mathdoc.fr/item/PDM_2010_12_a50/

[1] Salii V. N., “Avtomaty, u kotorykh vse kongruentsii – vnutrennie”, Izv. vuzov. Matematika, 2009, no. 9, 36–45 | MR | Zbl