On a question of A. N. Skiba about totally saturated formations
It is proved that the lattice of τ-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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2008 |
| ISSN: | 1726-3255 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153366 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On a question of A. N. Skiba about totally saturated formations / V.G. Safonov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 88–97. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734354456772608 |
|---|---|
| author | Safonov, V.G. |
| author_facet | Safonov, V.G. |
| citation_txt | On a question of A. N. Skiba about totally saturated formations / V.G. Safonov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 88–97. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | It is proved that the lattice of τ-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 | 2025-12-07T19:42:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153366 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:42:47Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Safonov, V.G. 2019-06-14T03:36:45Z 2019-06-14T03:36:45Z 2008 On a question of A. N. Skiba about totally saturated formations / V.G. Safonov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 88–97. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20D10, 20F17. https://nasplib.isofts.kiev.ua/handle/123456789/153366 It is proved that the lattice of τ-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). The research is supported by the Grant
 Φ
 06MC-017 of BRFFI (Belarus). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On a question of A. N. Skiba about totally saturated formations Article published earlier |
| spellingShingle | On a question of A. N. Skiba about totally saturated formations Safonov, V.G. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153366 |
| work_keys_str_mv | AT safonovvg onaquestionofanskibaabouttotallysaturatedformations |