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Finite automata and numbers

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Publication:314209
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DOI10.1515/dma-2016-0011zbMath1386.68105OpenAlexW2502291318MaRDI QIDQ314209

Stanislav V. Aleshin, Pavel A. Panteleev

Publication date: 13 September 2016

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2016-0011


zbMATH Keywords

\(p\)-adic numbersautomata structurelinear automatatransition diagramstransition semigroups


Mathematics Subject Classification ID

Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35) Other nonanalytic theory (11S85)




Cites Work

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  • Automata finiteness criterion in terms of van der Put series of automata functions
  • Applied algebraic dynamics
  • Central units in integral group rings for Frobenius metacyclic groups.
  • The Generation of GL(n, Z) by Finite State Automata
  • On circuits and numbers
  • 2-Adic shift registers
  • Synthesis of UP-DOWN Counters
  • Endomorphism rings of Abelian groups
  • A convolutional-like approach to \(p\)-adic codes
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