Algebra and Discrete Mathematics, 2018, Vol. 25, № 2 http://dspace.nbuv.gov.ua:80/handle/123456789/150404 Wed, 22 Apr 2026 10:04:21 GMT 2026-04-22T10:04:21Z Algebra and Discrete Mathematics, 2018, Vol. 25, № 2 http://dspace.nbuv.gov.ua:80/bitstream/id/448189/ http://dspace.nbuv.gov.ua:80/handle/123456789/150404 Automorphisms of the endomorphism semigroup of a free abelian diband http://dspace.nbuv.gov.ua:80/handle/123456789/188367 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. Mon, 01 Jan 2018 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/188367 2018-01-01T00:00:00Z A random Bockstein operator http://dspace.nbuv.gov.ua:80/handle/123456789/188366 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. Mon, 01 Jan 2018 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/188366 2018-01-01T00:00:00Z The growth function of the adding machine http://dspace.nbuv.gov.ua:80/handle/123456789/188365 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. Mon, 01 Jan 2018 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/188365 2018-01-01T00:00:00Z Square difference labeling of some union and disjoint union graphs http://dspace.nbuv.gov.ua:80/handle/123456789/188364 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. Mon, 01 Jan 2018 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/188364 2018-01-01T00:00:00Z