Representation of automata by groups
We consider the problem of representing abstract automata by finite groups. We prove the universality of the proposed representation and study its properties.
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8240 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794474730323968 |
|---|---|
| author | Skobelev, V. G. Скобелев, В. Г. |
| author_facet | Skobelev, V. G. Скобелев, В. Г. |
| author_institution_txt_mv | [
{
"author": "В. Г. Скобелев",
"institution": "Ин-т прикл. математики и механики АН Украины, Донецк"
}
] |
| author_sort | Skobelev, V. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:23Z |
| description | We consider the problem of representing abstract automata by finite groups. We prove the universality of the proposed representation and study its properties. |
| first_indexed | 2026-03-24T03:37:41Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8240 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:41Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8a/6ecef1f3c22717201554f8381e2bee8a.pdf |
| spelling | umjimathkievua-article-82402024-03-27T09:55:23Z Representation of automata by groups Представление автоматов группами Skobelev, V. G. Скобелев, В. Г. We consider the problem of representing abstract automata by finite groups. We prove the universality of the proposed representation and study its properties. Рассматривается задача представления абстрактных автоматов конечными группами. Доказана универсальность предложенного представления и исследуются его свойства. Розглядається задача зображення абстрактних автоматів скінченними групами. Доведена універсальність запропонованого зображення та досліджуються його властивості. Institute of Mathematics, NAS of Ukraine 1992-10-01 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8240 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 10 (1992); 1412-1416 Український математичний журнал; Том 44 № 10 (1992); 1412-1416 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8240/9820 Copyright (c) 1992 V. G. Skobelev |
| spellingShingle | Skobelev, V. G. Скобелев, В. Г. Representation of automata by groups |
| title | Representation of automata by groups |
| title_alt | Представление автоматов группами |
| title_full | Representation of automata by groups |
| title_fullStr | Representation of automata by groups |
| title_full_unstemmed | Representation of automata by groups |
| title_short | Representation of automata by groups |
| title_sort | representation of automata by groups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8240 |
| work_keys_str_mv | AT skobelevvg representationofautomatabygroups AT skobelevvg representationofautomatabygroups AT skobelevvg predstavlenieavtomatovgruppami AT skobelevvg predstavlenieavtomatovgruppami |