Category Archives: Fall 2018

Elementary reduction of matrices over rings with almost stable range 1

Bohdan Zabavsky

Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv

Andriy Romaniv

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

November 27, 2018 at 15:05 in Lecture Room 377

Abstract of talk

In the talk we investigate the elementary reduction of matrices over rings with almost stable range 1.

Classification of Symmetry Reductions for the Eikonal Equation

Vasyl’Fedorchuk

Institute of Mathematics,
Pedagogical University of Kraków, Poland;
Department of Algebra,
Pidstryhach Institute for Applied
Problems of Mechanics and Mathematics
of the NAS of Ukraine

Volodymyr Fedorchuk

Department of Algebra,
Pidstryhach Institute for Applied
Problems of Mechanics and Mathematics
of the NAS of Ukraine

 

November 6, 2018 at 15:05 in Lecture Room 377

 

Abstract of talk

In the talk we present the results concerning the relationship between the structural properties of low-dimensional (dim L ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincare group P(1,4) and the properties of the reduced equations for the eikonal equation. To obtain those results, we have performed the classification of the invariants as well as of the ansatzes for the above mentioned subalgebras. We also present some classes of invariant solutions for the eikonal equation.

Reduced Triangular Form of Polynomial Matrices and Its Invariants

 

Bogdan Shavarovskii

Department of Algebra, Pidstryhach
Institute for Applied Problems of
Mechanics and Mathematics of
NAS of Ukraine

 

October 16, 2018 at 15:05 in Lecture Room 377

Abstract of talk

In this report the semiscalar equivalence of polynomial matrices of three-order is
investigated. In particular, the systems of invariants of reduced matrices have been found.

Session dedicated to the memory of professor Vasyl’ Ivanovych Andriychuk 

 

Session of the Lviv Algebraic Seminar dedicated to the memory of professor 

Vasyl’ Ivanovych Andriychuk 

September 18, 2018 at 15:00 in Lecture Room 377

Program

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