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31.
Salvatore Sessa 《Fuzzy Sets and Systems》1984,13(1):95-100
In this communication, we explicitly point out that the principal results of Liu 1982 basically deduced from the definition of binary operation ° on the set F(X) of all fuzzy subsets of X, also hold if one uses the weaker definition of product under triangular norm °t. Fuzzy ideals with respect to the triangular norms are also defined. 相似文献
32.
E. M. Kovyazina 《Mathematical Notes》1996,60(6):666-670
It is proved that a τ-adic relation characterizing a Butler group is piecewise rational.
Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 882–887, December, 1996. 相似文献
33.
朱静萍 《南昌大学学报(理科版)》2004,28(4):336-337,355
用F(G)代替F(G),将文“Finite Groups with Quasinormal Subgroups of Prime Power Order Acta Math Hungar 89(4),2000,321-326”一文中的主要定理的可解性的假设去除,从而推广了该文的结论。 相似文献
34.
Using the classification of finite simple groups, we prove that if H is an insoluble normal subgroup of a finite group G, then H contains a maximal soluble subgroup S such that G=HNG(S). Thereby Problem 14.62 in the Kourovka Notebook is given a positive solution. As a consequence, it is proved that in every finite group, there exists a subgroup that is simultaneously a
-projector and a
-injector in the class,
, of all soluble groups. 相似文献
35.
We study the problem concerning the influence of indices of maximal subgroups of a simple group on the structure of a group. We obtain a characterization property of all finite simple groups. 相似文献
36.
F.?de?GiovanniEmail author A.?Russo G.?Vincenzi 《Bulletin of the Brazilian Mathematical Society》2003,34(2):219-229
This article investigates the structure of groups in which
every subgroup either is subnormal or has a transitive normality
relation, with special attention to the case in which subnormal
subgroups have bounded defect. 相似文献
37.
We prove that if a group G is residually
, then for every
-subgroup of the group G, the set of -roots from this subgroup is a -separable
-subgroup. 相似文献
38.
V. V. Bludov 《Algebra and Logic》2003,42(5):304-317
We prove a theorem saying that in finitely generated linearly ordered metabelian groups there exists a finite system of normal convex subgroups satisfying orderability conditions for groups, and an embedding theorem for linearly ordered metabelian groups whose initial linear orders extend to -divisible linearly ordered metabelian ones. As a consequence, it is stated that orderable metabelian groups are embedded, with extension of all their linear orders, in -divisible orderable metabelian groups. 相似文献
39.
A proper subgroup H of a group G is said to be strongly embedded if 2 (H) and 2(HH
g) (for all
). An involution i of G is said to be finite if
(for all g G). As is known, the structure of a (locally) finite group possessing a strongly embedded subgroup is determined by the theorems of Burnside and Brauer--Suzuki, provided that the Sylow 2-subgroup contains a unique involution. In this paper, sufficient conditions for the equality m
2(G)= 1 are established, and two analogs of the Burnside and Brauer—Suzuki theorems for infinite groups G possessing a strongly embedded subgroup and a finite involution are given. 相似文献
40.
The structure of groups in which many subgroups have a certain property X has been investigated for several choices of the property X. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given.(Dedicated to Mario Curzio on the occasion of his 70th birthday)1991 Mathematics Subject Classification: 20F16 相似文献