Previous |  Up |  Next

Article

Title: State hypergroups of automata (English)
Author: Chvalina, Jan
Author: Chvalinová, Ludmila
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 4
Issue: 1
Year: 1996
Pages: 105-119
.
Category: math
.
MSC: 20N20
MSC: 68Q70
idZBL: Zbl 0870.20053
idMR: MR1446788
.
Date available: 2009-01-30T09:03:53Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120499
.
Reference: [1] Bavel Z.: The source as a tool in automata.Inform. Control. 18 (1971), 140-155. Zbl 0221.94079, MR 0272553, 10.1016/S0019-9958(71)90324-X
Reference: [2] Bavel Z., Grzymala-Busse J., Soo Hong K.: On the conectivity of the product of automata.Fundam. Informaticae 7, 2 (1984), 225-265. MR 0773538
Reference: [3] Birkhoff G., Lipson J. D.: Heterogeneous algebras.J. Combinatorial Theory 8 (1970), 115-133. Zbl 0211.02003, MR 0250887, 10.1016/S0021-9800(70)80014-X
Reference: [4] Corsini P.: Prolegomena of Hypergoup Theory.Aviani Editore, Tricesimo, 1993. MR 1237639
Reference: [5] Čech E.: Topological Spaces.(Revised by Zdeněk Frolík and Miroslav Katětov) Academia, Prague, 1966. MR 0211373
Reference: [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. Zbl 0827.20085, MR 1342537
Reference: [7] Chvalina J., Chvalinová L.: Betweenness, automata, and commutative hypergroups.(Czech). Interim Grant Report FS VUT Brno (1993), 1-18.
Reference: [8] Dörfler W.: Halbgruppen und Automaten.Rend. Sem. Mat. Univ. Padova 50 (1973), 1-18. MR 0360900
Reference: [9] Dörfler W.: The cartesian composition of automata.Math. Systems theory 11 (1978), 239-257. MR 0490555, 10.1007/BF01768479
Reference: [10] Dresher M., Ore O.: Theory of multigroups.Amer. J. Math. 60 (1938), 705-733. Zbl 0019.10701, MR 1507345, 10.2307/2371606
Reference: [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. MR 1125319
Reference: [12] Gecseg F., Peak I.: Algebraic Theory of Automata.Akademiai Kiado, Budapest, 1972. MR 0332374
Reference: [13] Marty F.: Sur une generalisation de la notion de groupe.Huitieme congr. math. scand., Stockholm 1934, 45-49.
Reference: [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. MR 1301585
Reference: [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. MR 1301586
Reference: [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. MR 1125325
Reference: [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. Zbl 0840.68066, MR 1373012
Reference: [18] Prenowitz W., Jantosciak J.: Geometries and join spaces.Journ. reine angew. Math. 257 (1972), 100-128. Zbl 0264.50002, MR 0308908
Reference: [19] Shukla W., Srivastava A. K.: A topology for automata.A Note. Inform. Control 32 (1976), 163-168. Zbl 0338.94028, MR 0439470, 10.1016/S0019-9958(76)90206-0
Reference: [20] Vougiouklis T.: Cyclicity in a special class of hypergroups.Acta Univ. Carol. Math. Phys. 22, 1 (1981), 3-6. Zbl 0495.20042, MR 0635970
Reference: [21] Vougiouklis T.: Generalization of P-hypergroups.Rend. Circ. Mat. Palermo. Ser. 2 36 (1988), 114-121. MR 0944653
Reference: [22] Vougiouklis T. (ed.): Algebraic Hyperstructures and Applications.Proc. Fourth. Internal Congress, Xanthi, Greece 1990, World Sci. Singapore-New Jersey-London-Hong Kong, 1991. MR 1125311
Reference: [23] Warner M. W.: Semigroup, group quotient and homogeneous automata.Inform. Control 47 (1980), 59-66. MR 0607389, 10.1016/S0019-9958(80)90277-6
.

Files

Files Size Format View
ActaOstrav_04-1996-1_10.pdf 1.647Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo