Geodesic
Layers and cyclic factors of finite semigroups
Matematičeskie voprosy kriptografii, Tome 2 (2011), pp. 75-95

Voir la notice de l'article provenant de la source Math-Net.Ru

Estimates of the period and cyclic depth of a finite semigroup with respect to a fixed generating set are obtained as well as conditions for the semigroup elements to belong to semigroup layers. We investigate congruences on semigroups such that factor with respect to them is a cyclic group. Results may be used for the analysis of finite automata. 
@article{MVK_2011_2_a4,
     author = {V. G. Smirnov},
     title = {Layers and cyclic factors of finite semigroups},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {75--95},
     publisher = {mathdoc},
     volume = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2011_2_a4/}
}
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V. G. Smirnov. Layers and cyclic factors of finite semigroups. Matematičeskie voprosy kriptografii, Tome 2 (2011), pp. 75-95. http://geodesic.mathdoc.fr/item/MVK_2011_2_a4/