On a question of A. N. Skiba about totally saturated formations
It is proved that the lattice of \(\tau\)-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997).
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543362606170112 |
|---|---|
| author | Safonov, Vasily G. |
| author_facet | Safonov, Vasily G. |
| author_sort | Safonov, Vasily G. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-22T09:42:02Z |
| description | It is proved that the lattice of \(\tau\)-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997). |
| first_indexed | 2026-02-08T08:02:01Z |
| format | Article |
| id | admjournalluguniveduua-article-821 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:02:01Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8212018-03-22T09:42:02Z On a question of A. N. Skiba about totally saturated formations Safonov, Vasily G. formation of finite groups, totally saturated formation, lattice of formations, \(\tau\)-closed formation 20D10, 20F17 It is proved that the lattice of \(\tau\)-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997). Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 Algebra and Discrete Mathematics; Vol 7, No 3 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821/351 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | formation of finite groups totally saturated formation lattice of formations \(\tau\)-closed formation 20D10 20F17 Safonov, Vasily G. On a question of A. N. Skiba about totally saturated formations |
| title | On a question of A. N. Skiba about totally saturated formations |
| title_full | On a question of A. N. Skiba about totally saturated formations |
| title_fullStr | On a question of A. N. Skiba about totally saturated formations |
| title_full_unstemmed | On a question of A. N. Skiba about totally saturated formations |
| title_short | On a question of A. N. Skiba about totally saturated formations |
| title_sort | on a question of a. n. skiba about totally saturated formations |
| topic | formation of finite groups totally saturated formation lattice of formations \(\tau\)-closed formation 20D10 20F17 |
| topic_facet | formation of finite groups totally saturated formation lattice of formations \(\tau\)-closed formation 20D10 20F17 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 |
| work_keys_str_mv | AT safonovvasilyg onaquestionofanskibaabouttotallysaturatedformations |