Jürgensen Helmut and McQuillan Ian: Homomorphisms preserving types of density. In: Acta cybernetica, (19) 2. pp. 499-516. (2009)
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Abstract
The concept of density in a free monoid can be generalized from the infix relation to arbitrary relations. Many of the properties known for density can be established over these more general notions of densities. In this paper, we investigate homomorphisms which preserve different types of density. We demonstrate a strict hierarchy between families of homomorphisms which preserve density over different types of relations. However, as with the case of endomorphisms, a similar hierarchy for weak-coding homomorphisms collapses. We also present an algorithm to decide whether a homomorphism preserves density over any relation which satisfies some natural conditions.
Item Type: | Article |
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Journal or Publication Title: | Acta cybernetica |
Date: | 2009 |
Volume: | 19 |
Number: | 2 |
ISSN: | 0324-721X |
Page Range: | pp. 499-516 |
Language: | English |
Place of Publication: | Szeged |
Event Title: | International Conference on Automata and Formal Languages (12.) (2008) (Szeged) |
Related URLs: | http://acta.bibl.u-szeged.hu/38528/ |
Uncontrolled Keywords: | Számítástechnika, Kibernetika |
Additional Information: | Bibliogr.: 516. p. ; összefoglalás angol nyelven |
Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
Date Deposited: | 2016. Oct. 15. 12:25 |
Last Modified: | 2022. Jun. 17. 09:12 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/12876 |
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