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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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
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| datestamp_date |
2018-03-22T09:42:02Z |
| collection |
OJS |
| language |
English |
| topic |
formation of finite groups totally saturated formation lattice of formations \(\tau\)-closed formation 20D10 20F17 |
| 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 |
| topic_facet |
formation of finite groups totally saturated formation lattice of formations \(\tau\)-closed formation 20D10 20F17 |
| format |
Article |
| author |
Safonov, Vasily G. |
| author_facet |
Safonov, Vasily G. |
| author_sort |
Safonov, Vasily G. |
| title |
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_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_sort |
on a question of a. n. skiba about totally saturated formations |
| 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). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 |
| work_keys_str_mv |
AT safonovvasilyg onaquestionofanskibaabouttotallysaturatedformations |
| first_indexed |
2025-07-17T10:36:38Z |
| last_indexed |
2025-07-17T10:36:38Z |
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1837890115250159616 |