Result Details

On Levine's decomposition of the power phase set of a semihypergroup act

CHVALINA, J.; NOVÁK, M. On Levine's decomposition of the power phase set of a semihypergroup act. In Proceedings 5th International Conference APLIMAT, Part II. Bratislava: Slovenská technická univerzita v Bratislavě, 2006. 6 p. ISBN: 80-967305-6-8.
Type
conference paper
Language
English
Authors
Chvalina Jan, prof. RNDr., DrSc., UMAT (FEEC)
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Abstract

The contribution includes results for multiautomata with input hypergroups, which create state hypergroups of these multiautomata, and spaces with closure operators. Using upper closure operator Levine s congruence of hypergroup, the carrier set of which is a power set of the state set of a multiautomaton, is constructed. The possibility of representing a power set of one hypergroup in another one (thanks to lifting homomorphisms of the original multiautomata) is also presented.

English keywords

theory of automata, multiautomata, hypergrup theory, hyperstructure theory

Published
2006
Pages
6
Proceedings
Proceedings 5th International Conference APLIMAT, Part II
Conference
5th International Conference APLIMAT
ISBN
80-967305-6-8
Publisher
Slovenská technická univerzita v Bratislavě
Place
Bratislava
BibTeX 
@inproceedings{BUT18382,
  author="Jan {Chvalina} and Michal {Novák}",
  title="On Levine's decomposition of the power phase set of a semihypergroup act",
  booktitle="Proceedings 5th International Conference APLIMAT, Part II",
  year="2006",
  pages="6",
  publisher="Slovenská technická univerzita v Bratislavě",
  address="Bratislava",
  isbn="80-967305-6-8"
}
Departments
Ústav matematiky (UMAT)
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