On τ-Closed Formations of n-Ary Group
We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation \(\mathfrak{F}\) , then \(G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})\) , where \(\Phi _\tau (\mathfrak{F})\) is the intersection of all maximal τ-closed subformations of the τ-cl...
Saved in:
| Date: | 2001 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4226 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510356388970496 |
|---|---|
| author | Al-Dababseh, Avni Faez Аль-Дабабсех, Авни Файез Аль-Дабабсех, Авни Файез |
| author_facet | Al-Dababseh, Avni Faez Аль-Дабабсех, Авни Файез Аль-Дабабсех, Авни Файез |
| author_sort | Al-Dababseh, Avni Faez |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:00Z |
| description | We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation \(\mathfrak{F}\) , then \(G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})\) , where \(\Phi _\tau (\mathfrak{F})\) is the intersection of all maximal τ-closed subformations of the τ-closed formation of n-ary groups \(\mathfrak{F}\) . |
| first_indexed | 2026-03-24T02:55:42Z |
| format | Article |
| fulltext |
0050
0051
0052
0053
|
| id | umjimathkievua-article-4226 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:42Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/89/48b3a3d5996bdbeefd7af3bfd147d589.pdf |
| spelling | umjimathkievua-article-42262020-03-18T20:25:00Z On τ-Closed Formations of n-Ary Group О τ-замкнутых формациях n-арных групп Al-Dababseh, Avni Faez Аль-Дабабсех, Авни Файез Аль-Дабабсех, Авни Файез We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation \(\mathfrak{F}\) , then \(G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})\) , where \(\Phi _\tau (\mathfrak{F})\) is the intersection of all maximal τ-closed subformations of the τ-closed formation of n-ary groups \(\mathfrak{F}\) . Доведено, що якщо $G$ — неодноелементна $n$-арна скінченна група, яка належить $τ$-замкненій формації $\mathfrak{F}$, то $G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})$, де $\Phi _\tau (\mathfrak{F})$— перетин всіх максимальних $τ$-замкнених підформадій $τ$-замкненої формації $n$-арних груп $\mathfrak{F}$. Institute of Mathematics, NAS of Ukraine 2001-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4226 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 1 (2001); 113-116 Український математичний журнал; Том 53 № 1 (2001); 113-116 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4226/5156 https://umj.imath.kiev.ua/index.php/umj/article/view/4226/5157 Copyright (c) 2001 Al-Dababseh Avni Faez |
| spellingShingle | Al-Dababseh, Avni Faez Аль-Дабабсех, Авни Файез Аль-Дабабсех, Авни Файез On τ-Closed Formations of n-Ary Group |
| title | On τ-Closed Formations of n-Ary Group |
| title_alt | О τ-замкнутых формациях n-арных групп |
| title_full | On τ-Closed Formations of n-Ary Group |
| title_fullStr | On τ-Closed Formations of n-Ary Group |
| title_full_unstemmed | On τ-Closed Formations of n-Ary Group |
| title_short | On τ-Closed Formations of n-Ary Group |
| title_sort | on τ-closed formations of n-ary group |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4226 |
| work_keys_str_mv | AT aldababsehavnifaez ontclosedformationsofnarygroup AT alʹdababsehavnifajez ontclosedformationsofnarygroup AT alʹdababsehavnifajez ontclosedformationsofnarygroup AT aldababsehavnifaez otzamknutyhformaciâhnarnyhgrupp AT alʹdababsehavnifajez otzamknutyhformaciâhnarnyhgrupp AT alʹdababsehavnifajez otzamknutyhformaciâhnarnyhgrupp |