Geodesic
On generating sets of diagonal acts over semigroups of isotone and continuous transformations
Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 5-12.

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The diagonal acts (automata) over semigroups of isotone transformations of a partially ordered set and continuous mappings of a topological space into itself are investigated. For the diagonal right act over the semigroup of continuous selfmappings of a compact, a necessary condition to be cyclic is given. For the diagonal act over a semigroup of isotone selfmappings of the set of natural numbers, the absence of a countable set of generators is proved. The connections between the continuity and the isotonness are studied.
Keywords: act, isotone mapping, generating set, semigroup of continuous mappings.
Mots-clés : diagonal act 
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T. V. Apraksina. On generating sets of diagonal acts over semigroups of isotone and continuous transformations. Prikladnaâ diskretnaâ matematika, no. 4 (2014), pp. 5-12. http://geodesic.mathdoc.fr/item/PDM_2014_4_a0/

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