OLEH ROMANIVDepartment of Algebra, Topology and Fundamental Mathematics 

March 30, 2021 at 15:00 onlineJoin Zoom Meeting 
Abstract of talk
We study an analogue of unique factorization rings in the case of an elementary divisor domain.
supervised by prof. V. M. Petrychkovych, prof. O. M. Romaniv and prof. A. I. Gatalevych
OLEH ROMANIVDepartment of Algebra, Topology and Fundamental Mathematics 

March 30, 2021 at 15:00 onlineJoin Zoom Meeting 
We study an analogue of unique factorization rings in the case of an elementary divisor domain.
Volodymyr ShchedrykDepartment of Algebra, Pidstryhach 
Victor BovdiUnited Arab Emirates University, 



February 23, 2021 at 15:00 onlineJoin Zoom Meeting 
Solutions of a linear equation in a homomorphic image of a commutative Bezout domain of stable range 1.5 is developed.
It is proved that the set of solutions of a solvable linear equation contains at least one solution that divides the rest, which is
called a generating solution. Generating solutions are pairwise associates. Using this result, the structure of elements of the
Zelisko group is investigated.
OLEH ROMANIVDepartment of Algebra, Topology and Fundamental Mathematics 

December 24, 2020 at 12:00 onlineJoin Zoom Meeting 
Let R be a JNoetherian Bezout domain which is not a ring of stable range 1. Then in R there exists a nonunit adequate element.
Andrii GatalevychDepartment of Higher Mathematics 
Volodymyr ShchedrykDepartment of Algebra, Pidstryhach 

November 27, 2020 at 16:00 onlineJoin Zoom Meeting 
The set of full matrices (i.e., matrices whose elements are relatively prime) of the second order over an adequate ring R is investigated. The concept of an adequate element in noncommutative rings is introduced. It is proved that nonsingular full second order matrices are right (left) adequate elements in the ring of second order matrices over R.
Bogdan ShavarovskiiDepartment of Algebra, Pidstryhach 



October 15, 2019 at 15:05 in Lecture Room 377 
Some invariants of 3by3 polynomial matrices with all different characteristic roots are found. In some cases, the conditions of semiscalar equivalence of such matrices are specified and canonical forms are constructed.
Natalija LadzoryshynDepartment of Algebra, Pidstryhach 



September 24, 2019 at 15:05 in Lecture Room 377 
Volodymyr ZeliskoDepartment of Algebra and Logic 



April 16, 2019 at 15:05 in Lecture Room 377 
We consider the problem of equivalence and semiscalar equivalence of the Kronecker products of polynomial matrices and their separation of factors.