Category Archives: Spring 2021

On the classification of symmetry reductions for the (1+3)-dimensional Monge-Ampère equation

Vasyl’Fedorchuk

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

 

April 28, 2021 at 16:00 online

Join Zoom Meeting
https://us04web.zoom.us/j/7398069872?pwd=dzV0TS9WcTIyMEZZYzlKVTdOWDZSUT09
Meeting ID: 739 806 9872
Passcode: AUpYx5

 

Abstract of talk

The classification of symmetry reductions for the Monge – Ampère equation in the space M(1,3) x R(u) is carried out. Some results obtained by using the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) are presented.

Here: M(1,3) is the (1+3) – dimensional Minkowski space; R(u) is the real number axis of the dependent variable u.

AAA

Comaximal factorization in a commutative Bezout ring

OLEH ROMANIV

Department of Algebra, Topology and Fundamental Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv

March 30, 2021 at 15:00 online

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https://us04web.zoom.us/j/7398069872?pwd=dzV0TS9WcTIyMEZZYzlKVTdOWDZSUT09
Meeting ID: 739 806 9872
Passcode: AUpYx5

Abstract of talk

We study an analogue of unique factorization rings in the case of an elementary divisor domain.

AAA

A generating solution of a linear equation and structure of elements of the Zelisko group

Volodymyr Shchedryk

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

Victor Bovdi

United Arab Emirates University,
Al Ain, UAE

 

February 23, 2021 at 15:00 online

Join Zoom Meeting
https://us04web.zoom.us/j/7398069872?pwd=dzV0TS9WcTIyMEZZYzlKVTdOWDZSUT09
Meeting ID: 739 806 9872
Passcode: AUpYx5

Abstract of talk

Solutions of a linear equation a= bx 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.

AAA