On hypercentral fyzzy groups
In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/694 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543159638556672 |
|---|---|
| author | Kurdachenko, L. A. Grin, K. O. Turbay, N. A. |
| author_facet | Kurdachenko, L. A. Grin, K. O. Turbay, N. A. |
| author_sort | Kurdachenko, L. A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:42:12Z |
| description | In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained. |
| first_indexed | 2026-02-08T07:57:59Z |
| format | Article |
| id | admjournalluguniveduua-article-694 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:59Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6942018-04-04T09:42:12Z On hypercentral fyzzy groups Kurdachenko, L. A. Grin, K. O. Turbay, N. A. Fuzzy group; fuzzy subgroup; upper central series, lower central series, nilpotent fuzzy group; support subgroup; characteristic function 20N25, 08A72, 03E72 In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/694 Algebra and Discrete Mathematics; Vol 13, No 1 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/694/227 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Fuzzy group; fuzzy subgroup; upper central series lower central series nilpotent fuzzy group; support subgroup; characteristic function 20N25 08A72 03E72 Kurdachenko, L. A. Grin, K. O. Turbay, N. A. On hypercentral fyzzy groups |
| title | On hypercentral fyzzy groups |
| title_full | On hypercentral fyzzy groups |
| title_fullStr | On hypercentral fyzzy groups |
| title_full_unstemmed | On hypercentral fyzzy groups |
| title_short | On hypercentral fyzzy groups |
| title_sort | on hypercentral fyzzy groups |
| topic | Fuzzy group; fuzzy subgroup; upper central series lower central series nilpotent fuzzy group; support subgroup; characteristic function 20N25 08A72 03E72 |
| topic_facet | Fuzzy group; fuzzy subgroup; upper central series lower central series nilpotent fuzzy group; support subgroup; characteristic function 20N25 08A72 03E72 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/694 |
| work_keys_str_mv | AT kurdachenkola onhypercentralfyzzygroups AT grinko onhypercentralfyzzygroups AT turbayna onhypercentralfyzzygroups |