http://dspace.nbuv.gov.ua:80/handle/123456789/150404 2026-04-22T10:05:44Z 2026-04-22T10:05:44Z Zhuchok, Y.V. http://dspace.nbuv.gov.ua:80/handle/123456789/188367 2023-02-25T23:26:55Z 2018-01-01T00:00:00Z

Automorphisms of the endomorphism semigroup of a free abelian diband Zhuchok, Y.V. We determine all isomorphisms between the endomorphism semigroups of free abelian dibands and prove that all automorphisms of the endomorphism semigroup of a free abelian diband are inner.

2018-01-01T00:00:00Z Zabka, M.J. http://dspace.nbuv.gov.ua:80/handle/123456789/188366 2023-02-25T23:26:56Z 2018-01-01T00:00:00Z

A random Bockstein operator Zabka, M.J. As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the probabilistic properties of methods that use homological groups in topological data analysis, the probabilistic properties of methods that employ cohomology operations remain unstudied. In this paper, we investigate the Bockstein operator with randomness in a strictly algebraic setting.

2018-01-01T00:00:00Z Skochko, V. http://dspace.nbuv.gov.ua:80/handle/123456789/188365 2023-02-26T23:27:54Z 2018-01-01T00:00:00Z

The growth function of the adding machine Skochko, V. We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.

2018-01-01T00:00:00Z Sherman, Z. http://dspace.nbuv.gov.ua:80/handle/123456789/188364 2023-02-25T23:26:56Z 2018-01-01T00:00:00Z

Square difference labeling of some union and disjoint union graphs Sherman, Z. The paper deals with methods of constructing square difference labeling of caterpillars and graphs derived from two operations: path union of cycles and disjoint union of stars. The existence of the square difference labeling of disjoint union of any SD graph with path is proved.

2018-01-01T00:00:00Z