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


May 16, 2017 at 15:05 in Lecture Room 377

Abstract of talk
It this talk the author will present main results of his PhD thesis.
We will discuss an elementary matrix reduction over different classes of commutative and noncommutative rings. In particular, we will specify the necessary and sufficient conditions for a quasiEuclidean duoring being a ring with elementary matrix reduction. Using this criterion we will be able to describe various duorings with elementary matrix reduction. Moreover, it will be established that any right Hermite stable range one ring is a right Euclidean domain.