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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 4, Pages 75–95
DOI: https://doi.org/10.4213/mvk44 (Mi mvk44) 		 
Layers and cyclic factors of finite semigroups

V. G. Smirnov

Academy of Cryptography of Russian Federation, Moscow
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DOI: https://doi.org/10.4213/mvk44
Abstract: 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.
Key words: layer, hull, cyclic factor, Cayley graph of finite semigroup.
Received 23.VI.2010
Document Type: Article
UDC: 512.531.2
Language: Russian
Citation: V. G. Smirnov, “Layers and cyclic factors of finite semigroups”, Mat. Vopr. Kriptogr., 2:4 (2011), 75–95
Citation in format AMSBIB
\Bibitem{Smi11}
\by V.~G.~Smirnov
\paper Layers and cyclic factors of finite semigroups
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 4
\pages 75--95
\mathnet{http://mi.mathnet.ru/mvk44}
\crossref{https://doi.org/10.4213/mvk44}
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