2 citations · 3 across the 5 of their papers we have counts for
7 papers
Algebraic Properties of Subquasigroups and Construction of Cryptographically Suitable Finite Quasigroups
V. A. Artamonov, Sucheta Chakrabarti, Sharwan K. Tiwari +1
In this paper, we identify many important properties and develop criteria for the existence of subquasigroups in finite quasigroups. Based on these results, we propose an effective…
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…