2 citations · 3 across the 4 of their papers we have counts for
6 papers
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 …
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…
Centrally Essential Group Algebras
Victor Markov, Askar Tuganbaev
A ring with center is said to be \textit{centrally essential} if the module is an essential extension of the module . In the paper, we study groups whose group a…
Rings which are Essential over their Centers, II
Victor Markov, Askar Tuganbaev
A ring with center is said to be\textit{centrally essential} if the module is an essential extension of the module . We describe centrally essential exterior alg…
Rings Which Are Essential over Their Centers
Victor Markov, Askar Tuganbaev
A centrally essential ring is a ring which is an essential extension of its center (we consider the ring as a module over its center). We give several examples of noncommutative ce…