Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet

The classification of inverse semigroups generated by two-state partially defined invertible automata over a two-symbol alphabet is investigated. Two presentations of such semi-groups are given. The structures of these semigroups are analyzed.

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Date:2018
Main Author: Slupik, Janusz Konrad
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/881
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Slupik, Janusz Konrad
author_facet Slupik, Janusz Konrad
author_sort Slupik, Janusz Konrad
baseUrl_str
collection OJS
datestamp_date 2018-03-21T06:53:57Z
description The classification of inverse semigroups generated by two-state partially defined invertible automata over a two-symbol alphabet is investigated. Two presentations of such semi-groups are given. The structures of these semigroups are analyzed.
first_indexed 2026-02-08T07:58:59Z
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institution Algebra and Discrete Mathematics
language English
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publishDate 2018
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-8812018-03-21T06:53:57Z Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet Slupik, Janusz Konrad inverse semigroup, Mealy automata,partially defined Mealy automata, automaton transformations 20M18; 20M35, 68Q35 The classification of inverse semigroups generated by two-state partially defined invertible automata over a two-symbol alphabet is investigated. Two presentations of such semi-groups are given. The structures of these semigroups are analyzed. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/881 Algebra and Discrete Mathematics; Vol 5, No 1 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/881/410 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle inverse semigroup
Mealy automata,partially defined Mealy automata
automaton transformations
20M18; 20M35
68Q35
Slupik, Janusz Konrad
Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title_full Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title_fullStr Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title_full_unstemmed Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title_short Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
title_sort classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet
topic inverse semigroup
Mealy automata,partially defined Mealy automata
automaton transformations
20M18; 20M35
68Q35
topic_facet inverse semigroup
Mealy automata,partially defined Mealy automata
automaton transformations
20M18; 20M35
68Q35
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/881
work_keys_str_mv AT slupikjanuszkonrad classificationofinversesemigroupsgeneratedbytwostatepartiallydefinedinvertibleautomataoverthetwosymbolalphabet