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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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2008
1. Verfasser: Safonov, V.G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2008
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/153366
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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
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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
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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