Laws of the lattices of partially composition formations

被引：0

作者：

Vorob'ev N.N. ^{[1
]}

Skiba A.N. ^{[2
]}

Tsarev A.A. ^{[1
]}

机构：

[1] Masherov Vitebsk State University, Vitebsk

[2] Francisk Skorina Gomel State University, Gomel

来源：

Siberian Mathematical Journal | 2011年 / 52卷 / 5期

关键词：

ω-composition satellite of a formation; finite group; formation of groups; inductive lattice of formations; lattice of formations; law of a lattice; modular lattice; n-multiply ω-composition formation; x-separated lattice of formations;

D O I：

10.1134/S0037446611050053

中图分类号：

学科分类号：

摘要：

We prove that every law of the lattice of all formations of finite groups is fulfilled in the lattice of all n-multiply ω-composition formations of finite groups for every nonempty set of primes ω and every natural n. © 2011 Pleiades Publishing, Ltd.

引用

页码：802 / 812

页数：10

共 50 条

[1] LAWS OF THE LATTICES OF PARTIALLY COMPOSITION FORMATIONS
Vorob'ev, N. N.
Skiba, A. N.
Tsarev, A. A.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (05) : 802 - 812
[2] ON LAWS OF LATTICES OF PARTIALLY SATURATED FORMATIONS
Shemetkov, Leonid A.
Skiba, Alexander N.
Vorob'ev, Nikolay N.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2009, 2 (01) : 155 - 169
[3] Lattices of composition formations of finite groups and the laws
Tsarev, Aleksandr
Vorob'ev, Nikolay N.
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (05)
[4] Laws of the Lattices of σ-Local Formations of Finite Groups
Tsarev, Aleksandr
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (03)
[5] Laws of the lattices of foliated formations of T-groups
Aleksandr Tsarev
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 433 - 440
[6] Laws of the lattices of foliated formations of T-groups
Tsarev, Aleksandr
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (03) : 433 - 440
[7] Algebraic lattices of partially saturated formations of finite groups
Tsarevl, Aleksandr
[J]. AFRIKA MATEMATIKA, 2020, 31 (3-4) : 701 - 707
[8] Algebraic lattices of partially saturated formations of finite groups
Aleksandr Tsarev
[J]. Afrika Matematika, 2020, 31 : 701 - 707
[9] Partially composition formations of finite groups
Skiba, AN
Shemetkov, LA
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1999, 43 (04): : 5 - 8
[10] On a Question of the Theory of Partially Composition Formations
Tsarev, A. A.
Vorob'ev, N. N.
[J]. ALGEBRA COLLOQUIUM, 2014, 21 (03) : 437 - 447

← 1 2 3 4 5 →