Oleh Romaniv
Department of Algebra, Topology and Fundamental Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv
Department of Algebra, Topology and Fundamental Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv
March 30, 2021 at 1500,
online Zoom
Meeting ID: 739 806 9872
Passcode: AUpYx5
We study an analogue of unique factorization rings in the case of an elementary divisor domain.
Department of Algebra,
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
United Arab Emirates University,
Al Ain, UAE
February 23, 2021 at 1500,
online Zoom
https://us04web.zoom.us/j/739….
Meeting ID: 739 806 9872
Passcode: AUpYx5
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.
Department of Algebra, Topology and Fundamental Mathematics
Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv
Decemberar 24, 2020 at 1500,
online Zoom
Meeting ID: 739 806 9872
Passcode: AUpYx5
Let be a
-Noetherian Bezout domain which is not a ring of stable range 1. Then in
there exists a nonunit adequate element.
Department of Algebra,
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
Department of Higher Mathematics
Faculty of Mechanics and Mathematics Ivan Franko National University of Lviv
November 27, 2020 at 1500,
online Zoom
https://www.google.com/……
Meeting ID: 739 806 9872
Passcode: AUpYx5
The set of full matrices (i.e., matrices whose elements are relatively prime) of the second order over an adequate ring 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
.
With deep regret we report that on August 1, 2020 suddenly passed away supervisor of our seminar, Honored Professor of the Ivan Franko University of Lviv, Doctor of Sciences in Physics and Mathematics, Head of the Department of Algebra and Logic, a famous scientist and talented teacher
(19.08.1957 − 01.08.2020)
We express our deep and sincere condolences to his family and friends, employees of the Department of Algebra and Logic, students.
Our memory of prof. Bogdan V. Zabavsky will never die.