Algebra and Discrete Mathematics - №2 - 2004http://hdl.handle.net/123456789/932019-07-16T10:33:48Z2019-07-16T10:33:48ZA note to my paper “Multi-algebras from the viewpoint of algebraic logic”Cırulis, Janishttp://hdl.handle.net/123456789/1122015-10-30T06:52:06Z2003-01-01T00:00:00ZA note to my paper “Multi-algebras from the viewpoint of algebraic logic”
Cırulis, Janis
The definition of a resolvent, introduced in the
paper mentioned in the title, is simplified, and some misprints in
that paper are corrected.
2003-01-01T00:00:00ZGroups, in which almost all subgroups are near to normalSemko, M. M.Kuchmenko, S. M.http://hdl.handle.net/123456789/1112015-10-30T06:51:57Z2004-01-01T00:00:00ZGroups, in which almost all subgroups are near to normal
Semko, M. M.; Kuchmenko, S. M.
A subgroup H of a group G is said to be nearly
normal, if H has a finite index in its normal closure. These sub-
groups have been introduced by B.H. Neumann. In a present paper
is studied the groups whose non polycyclic by finite subgroups are
nearly normal. It is not hard to show that under some natural
restrictions these groups either have a finite derived subgroup or
belong to the class S1F (the class of soluble by finite minimax
groups). More precisely, this paper is dedicated of the study of
S1F groups whose non polycyclic by finite subgroups are nearly
normal.
2004-01-01T00:00:00ZGeneralized equivalence of collections of matrices and common divisors of matricesPetrychkovych, Vasyl‘ M.http://hdl.handle.net/123456789/1102015-10-30T06:52:16Z2004-01-01T00:00:00ZGeneralized equivalence of collections of matrices and common divisors of matrices
Petrychkovych, Vasyl‘ M.
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 under which the finite collection
consisting of the matrix and its the divisors is generalized equivalent
to the collection of the matrices of the triangular and diagonal
forms. By using these forms the common divisors of matrices is
described.
2004-01-01T00:00:00ZOn autotopies and automorphisms of n-ary linear quasigroupsMarini, AlbertoShcherbacov, Victorhttp://hdl.handle.net/123456789/1092015-10-30T06:52:00Z2004-01-01T00:00:00ZOn autotopies and automorphisms of n-ary linear quasigroups
Marini, Alberto; Shcherbacov, Victor
In this article we study structure of autotopies,
automorphisms, autotopy groups and automorphism groups of n-
ary linear quasigroups.
We find a connection between automorphism groups of some
special kinds of n-ary quasigroups (idempotent quasigroups, loops)
and some isotopes of these quasigroups. In binary case we find
more detailed connections between automorphism group of a loop
and automorphism group of some its isotope. We prove that every
finite medial n-ary quasigroup of order greater than 2 has a non-
identity automorphism group.
We apply obtained results to give some information on auto-
morphism groups of n-ary quasigroups that correspond to the ISSN
code, the EAN code and the UPC code.
2004-01-01T00:00:00Z