45 citations · 79 across the 4 of their papers we have counts for
4 papers
Torsion subgroups, solvability and the Engel condition in associative rings
Orest Artemovych, Victor Bovdi
The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are in…
Derivations of group rings
Orest D. Artemovych, Victor A. Bovdi, Mohamed A. Salim
Let R[G] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible in R. If R is finite and G is a…
The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited
Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov +1
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Po…
Differential-Algebraic Integrability Analysis of the Generalized Riemann Type and Korteweg-de Vries Hydrodynamical Equations
Anatoliy K. Prykarpatsky, Orest D. Artemovych, Ziemowit Popowicz +1
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic equations at N = 3; 4 is devised. The approach is also applied…