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Matematicheskie Zametki, 1998, Volume 63, Issue 2, Pages 248–259
DOI: https://doi.org/10.4213/mzm1271 (Mi mzm1271) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On free semigroups of automaton transformations

A. S. Oliinyk

National Taras Shevchenko University of Kyiv
Full-text PDF (248 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1271
Abstract: It is established that the subset of free $k$-generated subsemigroups of the semigroup of all automaton transformations over a finite alphabet is a second category set (in the sense of the Baire category approach) in the set of all $k$-generated subsemigroups. A continuum series of pairs of automaton transformations each of which generates a free semigroup of rank two is indicated. A criterion is established for this semigroup to be a finite-automaton group.
Received: 26.03.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 2, Pages 215–224
DOI: https://doi.org/10.1007/BF02308761
Bibliographic databases:
UDC: 512.534.3
Language: Russian
Citation: A. S. Oliinyk, “On free semigroups of automaton transformations”, Mat. Zametki, 63:2 (1998), 248–259; Math. Notes, 63:2 (1998), 215–224
Citation in format AMSBIB
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\jour Math. Notes
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\pages 215--224
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    • This publication is cited in the following 5 articles:
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