http://dspace.nbuv.gov.ua:80/handle/123456789/150372 2026-04-20T12:49:45Z 2026-04-20T12:49:45Z http://dspace.nbuv.gov.ua:80/handle/123456789/158439 2019-09-01T22:25:22Z 2012-01-01T00:00:00Z

D. I . Zaitsev In the spring of 2012, the 70th birthday of Dmitriy I. Zaitsev (1942-1990) will come. D.I Zaitsev did not live two years to his 50th birthday, but his life in mathematics will be long. His main interests were very wide; they spread over all areas of modern group theory. His work greatly influenced the development of the infinite group theory. Many of his results have already become classical and have been included in monographs and surveys. The methods developed by him found numerous followers who have successfully applied them.

2012-01-01T00:00:00Z Raievska, I.Yu. Sysak, Ya.P. http://dspace.nbuv.gov.ua:80/handle/123456789/152191 2019-06-08T22:25:14Z 2012-01-01T00:00:00Z

Finite local nearrings on metacyclic Miller-Moreno p-groups Raievska, I.Yu.; Sysak, Ya.P. In this paper the metacyclic Miller-Moreno p-groups which appear as the additive groups of finite local nearrings are classified.

2012-01-01T00:00:00Z Protasov, I. http://dspace.nbuv.gov.ua:80/handle/123456789/152190 2019-06-08T22:25:00Z 2012-01-01T00:00:00Z

Partitions of groups into sparse subsets Protasov, I. A subset A of a group G is called sparse if, for every infinite subset X of G, there exists a finite subset F ⊂ X, such that ∩x∈FxA is finite. We denote by η(G) the minimal cardinal such that G can be partitioned in η(G) sparse subsets. If |G| > (κ+)א0 then η(G) > κ, if |G| ≤ κ+ then η(G) ≤ κ. We show also that cov(A) ≥ cf|G| for each sparse subset A of an infinite group G, where cov(A) = min{|X| : G = X A}.

2012-01-01T00:00:00Z Kurdachenko, L.A. Grin, K.O. Turbay, N.A. http://dspace.nbuv.gov.ua:80/handle/123456789/152189 2019-06-08T22:25:07Z 2012-01-01T00:00:00Z

On hypercentral fyzzy groups Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.

2012-01-01T00:00:00Z