State hypergroups of automata

Jan Chvalina; Ludmila Chvalinová

Acta Mathematica et Informatica Universitatis Ostraviensis (1996)

  • Volume: 04, Issue: 1, page 105-119
  • ISSN: 1804-1388

How to cite

top

Chvalina, Jan, and Chvalinová, Ludmila. "State hypergroups of automata." Acta Mathematica et Informatica Universitatis Ostraviensis 04.1 (1996): 105-119. <http://eudml.org/doc/23778>.

@article{Chvalina1996,
author = {Chvalina, Jan, Chvalinová, Ludmila},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {commutative hypergroups; products of automata; relational hypergroups},
language = {eng},
number = {1},
pages = {105-119},
publisher = {University of Ostrava},
title = {State hypergroups of automata},
url = {http://eudml.org/doc/23778},
volume = {04},
year = {1996},
}

TY - JOUR
AU - Chvalina, Jan
AU - Chvalinová, Ludmila
TI - State hypergroups of automata
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1996
PB - University of Ostrava
VL - 04
IS - 1
SP - 105
EP - 119
LA - eng
KW - commutative hypergroups; products of automata; relational hypergroups
UR - http://eudml.org/doc/23778
ER -

References

top
  1. Bavel Z., 10.1016/S0019-9958(71)90324-X, Inform. Control. 18 (1971), 140-155. (1971) Zbl0221.94079MR0272553DOI10.1016/S0019-9958(71)90324-X
  2. Bavel Z., Grzymala-Busse J., Soo Hong K., On the conectivity of the product of automata, Fundam. Informaticae 7, 2 (1984), 225-265. (1984) MR0773538
  3. Birkhoff G., Lipson J. D., 10.1016/S0021-9800(70)80014-X, J. Combinatorial Theory 8 (1970), 115-133. (1970) Zbl0211.02003MR0250887DOI10.1016/S0021-9800(70)80014-X
  4. Corsini P., Prolegomena of Hypergoup Theory, Aviani Editore, Tricesimo, 1993. (1993) MR1237639
  5. Čech E., Topological Spaces, (Revised by Zdeněk Frolík and Miroslav Katětov) Academia, Prague, 1966. (1966) MR0211373
  6. Chvalina J., Commutative hypergroups in the sense of Marty and ordered sets, Gen. Alg. and Ordered Sets, Proc. Inter. Conf., Olomouc (1994), 19-30. (1994) Zbl0827.20085MR1342537
  7. Chvalina J., Chvalinová L., Betweenness, automata, and commutative hypergroups, (Czech). Interim Grant Report FS VUT Brno (1993), 1-18. (1993) 
  8. Dörfler W., Halbgruppen und Automaten, Rend. Sem. Mat. Univ. Padova 50 (1973), 1-18. (1973) MR0360900
  9. Dörfler W., 10.1007/BF01768479, Math. Systems theory 11 (1978), 239-257. (1978) MR0490555DOI10.1007/BF01768479
  10. Dresher M., Ore O., 10.2307/2371606, Amer. J. Math. 60 (1938), 705-733. (1938) Zbl0019.10701MR1507345DOI10.2307/2371606
  11. Foldes S., Lexicographic summs of ordered sets and hypergrupoids, Alg. Hyperstructures and Appl. (T. Vougiouklis, ed.), Proc. 4th Inter. Congress Xanthi, Greece 1990, World Scientific, Singapore 1991, 97-101. (1990) MR1125319
  12. Gecseg F., Peak I., Algebraic Theory of Automata, Akademiai Kiado, Budapest, 1972. (1972) MR0332374
  13. Marty F., Sur une generalisation de la notion de groupe, Huitieme congr. math. scand., Stockholm 1934, 45-49. (1934) 
  14. Massouros C. G., Automata and hypermoduloids, Alg. Hyperstructures and Appl. (M. Stefanescu, ed.), Proc. 5th Inter. Congress Jasi 1993, Hadronic Press, Palm Harbor, U.S.A., 1994, 251-256. (1993) MR1301585
  15. Massouros C. G., An automaton during its operation, Alg. Hyperstructures and Appl. (M. Stefanescu, ed.), Proc. 5th Inter. Congress Jasi 1993, Hadronic Press, Palm Harbor, U.S.A., 1994, 267-276. (1993) MR1301586
  16. Massouros C. G., Mittas J., Languages- automata and hypercompositional structures, Alg. Hyperstructures and Appl. (T. Vougiouklis, ed.), Proc. 4th Inter. Congress Xanthi, Greece 1990, World Scientific, Singapore 1991, 137-147. (1990) MR1125325
  17. Massouros C. G., Hypercompositional structures in the theory of the languages and automata, Anal.stiinfice Ale Univ. "Al. I, Cuza" Iasi III, Informatica 1994, 65-73. (1994) Zbl0840.68066MR1373012
  18. Prenowitz W., Jantosciak J., Geometries and join spaces, Journ. reine angew. Math. 257 (1972), 100-128. (1972) Zbl0264.50002MR0308908
  19. Shukla W., Srivastava A. K., 10.1016/S0019-9958(76)90206-0, A Note. Inform. Control 32 (1976), 163-168. (1976) Zbl0338.94028MR0439470DOI10.1016/S0019-9958(76)90206-0
  20. Vougiouklis T., Cyclicity in a special class of hypergroups, Acta Univ. Carol. Math. Phys. 22, 1 (1981), 3-6. (1981) Zbl0495.20042MR0635970
  21. Vougiouklis T., Generalization of P-hypergroups, Rend. Circ. Mat. Palermo. Ser. 2 36 (1988), 114-121. (1988) MR0944653
  22. Vougiouklis T. (ed.), Algebraic Hyperstructures and Applications, Proc. Fourth. Internal Congress, Xanthi, Greece 1990, World Sci. Singapore-New Jersey-London-Hong Kong, 1991. (1990) MR1125311
  23. Warner M. W., 10.1016/S0019-9958(80)90277-6, Inform. Control 47 (1980), 59-66. (1980) MR0607389DOI10.1016/S0019-9958(80)90277-6

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.