Algebra and Discrete Mathematics, 2007, № 4 http://dspace.nbuv.gov.ua:80/handle/123456789/150350 2026-04-22T14:32:33Z 2026-04-22T14:32:33Z On quantales of preradical Bland filters and differential preradical filters Melnyk, I. http://dspace.nbuv.gov.ua:80/handle/123456789/152386 2019-06-10T22:25:38Z 2007-01-01T00:00:00Z On quantales of preradical Bland filters and differential preradical filters Melnyk, I. We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale. 2007-01-01T00:00:00Z On one-sided Lie nilpotent ideals of associative rings Luchko, V.S. Petravchuk, A.P. http://dspace.nbuv.gov.ua:80/handle/123456789/152385 2019-06-10T22:25:32Z 2007-01-01T00:00:00Z On one-sided Lie nilpotent ideals of associative rings Luchko, V.S.; Petravchuk, A.P. We prove that a Lie nilpotent one-sided ideal of an associative ring R is contained in a Lie solvable two-sided ideal of R. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of Lie nilpotency of the Lie nilpotent one-sided ideal of R. One-sided Lie nilpotent ideals contained in ideals generated by commutators of the form […[[r₁,r₂],…],rn₋₁],rn] are also studied.. 2007-01-01T00:00:00Z Discrete limit theorems for Estermann zeta-functions. I Laurincikas, A. Macaitiene, R. http://dspace.nbuv.gov.ua:80/handle/123456789/152384 2019-06-10T22:25:34Z 2007-01-01T00:00:00Z Discrete limit theorems for Estermann zeta-functions. I Laurincikas, A.; Macaitiene, R. A discrete limit theorem in the sense of weak convergence of probability measures on the complex plane for the Estermann zeta-function is obtained. The explicit form of the limit measure in this theorem is given. 2007-01-01T00:00:00Z On differential preradicals Horbachuk, O. Komarnytskyi, M. Maturin, Y. http://dspace.nbuv.gov.ua:80/handle/123456789/152383 2019-06-10T22:25:34Z 2007-01-01T00:00:00Z On differential preradicals Horbachuk, O.; Komarnytskyi, M.; Maturin, Y. Differential preradicals and differential preradical filters are considered. Differentially closed fields are investigated. 2007-01-01T00:00:00Z