http://dspace.nbuv.gov.ua:80/handle/123456789/150335 2026-04-18T06:29:09Z http://dspace.nbuv.gov.ua:80/handle/123456789/157339 Normal functors in the coarse category Frider, V. We define the canonical coarse structure on the spaces of the form FX, where F is a finitary normal functor of finite degree and show that every finitary (i.e., preserving the class of finite spaces) normal functor of finite degree in Comp has its counterpart in the coarse category. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157338 Recurrence sequences over residual rings Sanchez, S.; Criado, R.; Vega, C. In this work we are carried out an algebraic study of the congruential lineal generator. The obtained results make possible several combinatorial approaches that improve significantly the period length and their behavior. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157337 Automaton extensions of mappings on the set of words defined by finite Mealy automata Osys, M. The properties of an automaton extensions of mappings on the set of words over a finite alphabet is discussed. We obtain the criterion whether the automaton extension of given mapping if defined by a finite automaton. 2005-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157336 Action type geometrical equivalence of representations of groups Plotkin, B.; Tsurkov, A. In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over KF₂, where F₂ is a free group with 2 generators (compare with [Ca] where a continuum of non isomorphic simple 2-generated groups is constructed). Using this fact we give an example of a non action type logically Noetherian representation (Section 9). 2005-01-01T00:00:00Z