http://dspace.nbuv.gov.ua:80/handle/123456789/150383 2026-04-09T14:17:59Z 2026-04-09T14:17:59Z http://dspace.nbuv.gov.ua:80/handle/123456789/158467 2019-09-01T22:25:57Z 2014-01-01T00:00:00Z

Igor Volodymyrovych Protasov (dedicated to 60-th Birthday)

2014-01-01T00:00:00Z Tomaszewski, W. http://dspace.nbuv.gov.ua:80/handle/123456789/153340 2019-06-14T22:27:57Z 2014-01-01T00:00:00Z

The algorithms that recognize Milnor laws and properties of these laws Tomaszewski, W. We consider several equivalent definitions of the so-called Milnor laws (or Milnor identities) that is the laws which are not satisfied in ApA varieties. The purpose of this article is to provide algorithms that allow us to check whether a given identity w(x, y) has one of the following properties: w(x, y) is a Milnor law, every nilpotent group satisfying w(x, y) is abelian, every finitely generated metabelian group satisfying w(x, y) is finite-by-abelian.

2014-01-01T00:00:00Z Novikov, B.V. http://dspace.nbuv.gov.ua:80/handle/123456789/153339 2019-06-14T22:28:30Z 2014-01-01T00:00:00Z

Non-commutative Grillet semigroups Novikov, B.V. Grillet semigroups are introduced. This class of semigroups contains regular semigroups and complete commutative semigroups (by Grillet’s terminology). Some structural theorems are proved.

2014-01-01T00:00:00Z Kucab, Ja. Zarichnyi, M. http://dspace.nbuv.gov.ua:80/handle/123456789/153338 2019-06-14T22:26:57Z 2014-01-01T00:00:00Z

Subpower Higson corona of a metric space Kucab, Ja.; Zarichnyi, M. We define a subpower Higson corona of a metric space. This corona turns out to be an intermediate corona between the Higson corona and sublinear Higson corona. It is proved that the subpower compactification of an unbounded proper metric space contains a topological copy of the Stone-Cech compactification of a countable discrete space. We also provide an example of a map between geodesic spaces that is not asymptotically Lipschitz but that generates a continuous map of the corresponding subpower Higson coronas.

2014-01-01T00:00:00Z