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https://open.uns.ac.rs/handle/123456789/18638
Nаziv: | Polymorphism clones of homogeneous structures: generating sets, Sierpiński rank, cofinality and the Bergman property | Аutоri: | Pech Christian Pech Maja |
Dаtum izdаvаnjа: | 2018 | Čаsоpis: | Algebra Universalis | Sažetak: | © 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 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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prоvеrеnо 10.05.2024.
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