Lviv Algebraic Seminar

	MARTA MALOID-GLEBOVA   Department of Algebra, Topology and Fundamental Mathematics Faculty of Mechanics and Mathematics Ivan Franko National University of Lviv
May 25, 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

Let R be a associative ring and M an multiplicative R-module. Let Spec^{s}(M) be the the collection of all second submodules of M. In this talk, we consider a new topology on Spec^{s}(M), called the second classical Zariski topology, and investigate the interplay between the module theoretic properties of M and the topological properties of Spec^{s}(M). Moreover, we study Spec^{s}(M) from point of view of spectral space.

	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

	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 Join Zoom Meeting 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

	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 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