Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/18638
Title: | Polymorphism clones of homogeneous structures: generating sets, Sierpiński rank, cofinality and the Bergman property | Authors: | Pech Christian Pech Maja |
Issue Date: | 2018 | Journal: | Algebra Universalis | Abstract: | © 2018, Springer International Publishing AG, part of Springer Nature. In this paper, motivated by classical results by Sierpiński, Arnold and Kolmogorov, we derive sufficient conditions for polymorphism clones of homogeneous structures to have a generating set of bounded arity. We use our findings in order to describe a class of homogeneous structures whose polymorphism clones have a finite Sierpiński rank, uncountable cofinality, and the Bergman property. | URI: | https://open.uns.ac.rs/handle/123456789/18638 | ISSN: | 0002-5240 | DOI: | 10.1007/s00012-018-0527-7 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.