Lattices of composition formations of finite groups and the laws

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DC Field	Value	Language
dc.contributor.author	Tsarev, A. A.	-
dc.contributor.author	Vorob`ev, N. N.	-
dc.date.accessioned	2023-02-17T11:30:37Z	-
dc.date.available	2023-02-17T11:30:37Z	-
dc.date.issued	2018	-
dc.identifier.citation	Tsarev, A. A. Lattices of composition formations of finite groups and the laws / A. A. Tsarev, N. N. Vorob’ev // Journal of Algebra and its Applications. – 2018. – Vol. 16, № 2. – P. 1850084.	ru_RU
dc.identifier.issn	0219-4988	-
dc.identifier.uri	https://rep.vsu.by/handle/123456789/36545	-
dc.description.abstract	We prove that every law of the lattice of all τ-closed formations of finite groups is fulfilled in the lattice of all τ-closed n-multiply ω-composition formations of finite groups for every non-empty set of primes ω and every non-negative integer n. Let n ≥ 0 and ω be an infinite set of primes. It is proved that the lattice of all τ-closed n-multiply ω-composition formations is not distributive.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	World Scientific Publishing Co. Pte Ltd	ru_RU
dc.relation.ispartofseries	Journal of Algebra and its Applications;Vol. 16, № 2	-
dc.subject	Subgroup functor	ru_RU
dc.subject	formation of groups	ru_RU
dc.subject	τ-closed n-multiply ω-composition formation	ru_RU
dc.subject	law of a lattice	ru_RU
dc.subject	distributive lattice	ru_RU
dc.subject	X-separated lattice of formations	ru_RU
dc.title	Lattices of composition formations of finite groups and the laws	ru_RU
dc.type	Article	ru_RU
Appears in Collections:	Научные публикации (2018)