Homomorphisms preserving types of density

Jürgensen, Helmut and McQuillan, Ian: Homomorphisms preserving types of density. Acta cybernetica, (19) 2. pp. 499-516. (2009)

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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
Event Title: International Conference on Automata and Formal Languages, 12., 2008, Szeged
Journal or Publication Title: Acta cybernetica
Date: 2009
Volume: 19
Number: 2
Page Range: pp. 499-516
ISSN: 0324-721X
Language: angol
Uncontrolled Keywords: Természettudomány, Informatika
Additional Information: Bibliogr.: 516. p.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Jun. 06. 11:25
URI: http://acta.bibl.u-szeged.hu/id/eprint/12876

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