5 citations · 11 across the 24 of their papers we have counts for
6 papers · 2 filters
Centrally Essential Endomorphism Rings of Abelian Groups
Oleg Lyubimtsev, Askar Tuganbaev
We study Abelian groups with centrally essential endomorphism ring . If is a such group which is either a torsion group or a non-reduced group, then the ring…
Distributive Noetherian Centrally Essential Rings
Victor Markov, Askar Tuganbaev
It is proved that a ring is a right or left Noetherian, right distributive centrally essential ring if and only if , where each of the rings …
Uniserial Noetherian Centrally Essential Rings
Victor Markov, Askar Tuganbaev
It is proved that a ring is a right uniserial, right Noetherian centrally essential ring if and only if is a commutative discrete valuation domain or a left and right Artin…
Automorphism-Liftable Modules
Askar Tuganbaev
In this paper, we describe all automorphism-liftable torsion modules over non-primitive hereditary Noetherian prime rings. We also study automorphism-liftable non-torsion modules o…
Rings with Polynomial Identity and Centrally Essential Rings
Victor Markov, Askar Tuganbaev
It is proved that for any prime integer and each field of characteristic , there exists a centrally essential -algebra which is not a PI-ring and is not algebraic ove…
Cayley-Dickson Process and Centrally Essential Rings
Victor Markov, Askar Tuganbaev
We describe associative center and the center of the ring obtained by applying the generalized Cayley-Dickson construction and we find conditions under which the…