Ahmad Alsheik Ahmad(Algebra and Discrete Mathematics, 2004)
Following [1] we say that subgroups H and T of
a group G are c-permutable in G if there exists an element x ∈ G
such that HTˣ = TˣH. We prove that a finite soluble group G is
supersoluble if and only if every maximal ...
Andriychuk, V.(Algebra and Discrete Mathematics, 2004)
Some corollaries of the Hasse principle for Brauer
group of a pseudoglobal field are obtained. In particular we prove
Hasse-Minkowski theorem on quadratic forms over pseudoglobal
field and the Hasse principle for quadratic ...
Semko, M.M.; Kuchmenko, S.M.(Algebra and Discrete Mathematics, 2004)
A subgroup H of a group G is said to be nearly
normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper
is studied the groups whose non polycyclic ...
Petrychkovych, V.M.(Algebra and Discrete Mathematics, 2004)
The collections (A1, ..., Ak) and (B1, ..., Bk) of
matrices over an adequate ring are called generalized equivalent if
Ai = UBiVi for some invertible matrices U and Vi
, i = 1, ..., k.
Some conditions are established ...
Marini, A.; Shcherbacov, V.(Algebra and Discrete Mathematics, 2004)
In this article we study structure of autotopies,
automorphisms, autotopy groups and automorphism groups of nary linear quasigroups.
We find a connection between automorphism groups of some
special kinds of n-ary ...
In this article it is proved that a torsion-free
locally nilpotent groups with non-trivial Fitting subgroup and every
proper homomorphic image an N₁-group is an N₁-group(and so it
is nilpotent).
Bezushchak, O.(Algebra and Discrete Mathematics, 2004)
The inverse semigroup of partially defined co–
finite automorphisms of integers is considered. This semigroup is
presented by generators and defining relations and its growth function is described.
Artemovych, O.D.(Algebra and Discrete Mathematics, 2004)
We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid
(i.e. has only the trivial ring endomorphisms) right semi-artinian
ring R is a field or isomorphic to ...