supervised by prof. V. M. Petrychkovych, prof. O. M. Romaniv and prof. A. I. Gatalevych
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Volodymyr ShchedrykDepartment of Algebra, Pidstryhach |
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Victor BovdiUnited Arab Emirates University, |
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October 19, 2021 at 15:00 onlineJoin Zoom Meeting |
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In our reports, we will describe the structure of elements of the Zelisko group (the group of matrices which quasi-commuting with a given diagonal matrix) over a homomorphic image of a commutative Bezout domain of stable range 1.5.
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MARTA MALOID-GLEBOVA
Department of Algebra, Topology and Fundamental Mathematics |
| 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 |
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.
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Vasyl’FedorchukDepartment of Algebra, |
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Volodymyr FedorchukDepartment of Algebra, |
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April 28, 2021 at 16:00 onlineJoin Zoom Meeting |
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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.
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OLEH ROMANIVDepartment of Algebra, Topology and Fundamental Mathematics |
March 30, 2021 at 15:00 onlineJoin Zoom Meeting |
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We study an analogue of unique factorization rings in the case of an elementary divisor domain.
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Volodymyr ShchedrykDepartment of Algebra, Pidstryhach |
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Victor BovdiUnited Arab Emirates University, |
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February 23, 2021 at 15:00 onlineJoin Zoom Meeting |
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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.
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OLEH ROMANIVDepartment of Algebra, Topology and Fundamental Mathematics |
December 24, 2020 at 12:00 onlineJoin Zoom Meeting |
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Let R be a J-Noetherian Bezout domain which is not a ring of stable range 1. Then in R there exists a nonunit adequate element.
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Andrii GatalevychDepartment of Higher Mathematics |
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Volodymyr ShchedrykDepartment of Algebra, Pidstryhach |
November 27, 2020 at 16:00 onlineJoin Zoom Meeting |
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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 non-commutative 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.
