DSpace Collection: IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.
http://hdl.handle.net/123456789/94
IV International Algebraic Conference in Ukraine. In this volume we complete to publish papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.2024-03-29T10:51:29ZA note to my paper “Multi-algebras from the viewpoint of algebraic logic”
http://hdl.handle.net/123456789/112
Title: A note to my paper “Multi-algebras from the viewpoint of algebraic logic”
Authors: Cırulis, Janis
Abstract: 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 normal
http://hdl.handle.net/123456789/111
Title: Groups, in which almost all subgroups are near to normal
Authors: Semko, M. M.; Kuchmenko, S. M.
Abstract: 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 matrices
http://hdl.handle.net/123456789/110
Title: Generalized equivalence of collections of matrices and common divisors of matrices
Authors: Petrychkovych, Vasyl‘ M.
Abstract: 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 quasigroups
http://hdl.handle.net/123456789/109
Title: On autotopies and automorphisms of n-ary linear quasigroups
Authors: Marini, Alberto; Shcherbacov, Victor
Abstract: 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