| Title:
|
Abelizations of weakly associative hyperstructures based on their direct squares (English) |
| Author:
|
Chvalina, Jan |
| Author:
|
Hošková, Šárka |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
11 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
11-23 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16Y99 |
| MSC:
|
18A40 |
| MSC:
|
20N20 |
| idZBL:
|
Zbl 1110.20304 |
| idMR:
|
MR2037307 |
| . |
| Date available:
|
2009-01-30T09:10:22Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120591 |
| . |
| Reference:
|
[1] Adámek J.: Mathematical Structures and Categories.SNTL Praha 1982, (In Czech). |
| Reference:
|
[2] Adámek J., Koubek V., Reiterrhan J.: Základy obecne topologie.SNTL Praha 1977. |
| Reference:
|
[3] Beránek J., Chvalina J.: From groups of linear functions to non-commutative transposition hypergroups.Dept. Math. Report Series 7, Univ. of South Bohemia, České Budějovice (1999), 1-10. |
| Reference:
|
[4] Čech E.: Topological Spaces.revised by Z. Frolík and M. Katětov, Academia, Praha 1966. MR 0211373 |
| Reference:
|
[5] Corsini P.: Prolegomena of Hypergroup Theory.Aviani Editore, Tricesimo, 1993. Zbl 0785.20032, MR 1237639 |
| Reference:
|
[6] Darafsheh M. R., Davvaz B.: $H\sb v$-rings of fractions.Italian Journal of Pure and App. Math., N. 5, (1999), 25-34. MR 1735518 |
| Reference:
|
[7] Freni D.: Hypergroupoids and fundamental relations.Algebraic Hyperstructures and Applications, Proceedings of the Fifth International Congress, Iasi, Romania 1993, Palm Harbor, Hadronic Press (1994), 81-92. MR 1301566 |
| Reference:
|
[8] Chvalina J.: Functional Graphs, Quasi-ordered Sets and Commutative Hypergroups.Masarykova Universita, Brno 1995, (In Czech). |
| Reference:
|
[9] Chvalina J., Chvalinová L.: Multistructures determined by differential rings.Arch. Math., Brno (2000), T. 36, CDDE 2001 issue, 429-434. MR 1822811 |
| Reference:
|
[10] Chvalina J., Chvalinová L.: Transposition hypergroups formed by transformation operators on rings of differentiable functions.Italian Journ. of Pure and Appl. Mathematics, N. 17, (2003), 13 pp. In print. MR 2051453 |
| Reference:
|
[11] Chvalina J., Hošková S.: Abelization of quasi-hypergroups as reflexion.Second Conf. Math. and Physics at Technical Universities, Military Academy Brno, Proceedings of Contributions, MA Brno (2001), 47-53 (In Czech). |
| Reference:
|
[12] Herrlich H., Strecker G.: Topologische Reflexionen and Coreflexionen.Lecture Notes on Math. 78, 1968. |
| Reference:
|
[13] Herrlich H., Strecker G.: Category Theory.Allyn and Bacon, Boston 1973. Zbl 0265.18001, MR 0349791 |
| Reference:
|
[14] Ježek J., Kepka T.: Bijective Reflexions and Coreflexions of Commutative Unars.Acta Univ. Carol. - Math. Phys., Vol. 37, No 1, (1996), 31-40. MR 1637707 |
| Reference:
|
[15] Kannan V.: Reflexive and coreflexive categories in topology.Math. Ann. 195 (1972), 168-174. MR 0291048, 10.1007/BF01419625 |
| Reference:
|
[16] Kuroš A. G.: Teorija grupp.Izdatelstvo "Nauka", Moskva 1967. MR 0249495 |
| Reference:
|
[17] Migliorato R.: Some topics on the feebly associative hypergroupoids.Algebraic Hyperstructures and Applications, Proceedings of the Fifth International Congress, Iasi, Romania 1993, Palm Harbor, Hadronic Press (1994), 67-79. MR 1301565 |
| Reference:
|
[18] Migliorato R., Gentile G.: Feebly associative hypergroupoids.Proceedings of the International Conference on Finite Geometries, Perugia, Italy 1992, (1993), 259-268. |
| Reference:
|
[19] Skula L.: On a reflexive subcategory of the category of all topological spaces.Trans. Amer. Math. Soc. 142 (1969), 37-41. MR 0248718 |
| Reference:
|
[20] Spartalis S.: On reversible $H\sb v$-groups, Algebraic Hyperstructures and Applications.Proc. Fifth Intefnat. Congress on AHA Iasi, Romania 1993. Hadronic Press, Inc. Palm Harbor (1994), 163-170. MR 1301574 |
| Reference:
|
[21] Spartalis S.: On the number of $H\sb v$-rings with P-hypergroupoids.Discrete Math. 155, No. 1-3 (1966), 225-231. MR 1401375 |
| Reference:
|
[22] Spartalis S.: Quotients of the P - $H\sb v$-rings.Proceedings of the International Workshop, Molise, Italy 1995, Palm Harbor, Hadronic Press, Series on New Frontiers in Advanced Mathematics (1996), 167-176. MR 1460519 |
| Reference:
|
[23] Spartalis S., Vougiouklis T.: The fundamental relations on $H\sb v$-rings.Rivistadi Matematica Pura ed Appl., 14 (1994), 7-20. MR 1275350 |
| Reference:
|
[24] Tallini G.: Geometric hypergroups and line spaces.Acta Univ. Carol. Math. Phys, 25, 1 (1984), 69-73. MR 0778078 |
| Reference:
|
[25] Tallini G: General multivalued algebraic structures and geometric space.Algebraic Hyperstructures and Applications, J. Comb. Inf. Syst. Sci. 20, No. 14 (1995), 229-235. MR 1125331 |
| Reference:
|
[26] Vougiouklis T.: Generalization of $H\sb v$-hypergroups.Rend. Circ. Math. Palermo, Ser.II, 36 (1987), 114-121. MR 0944653, 10.1007/BF02844705 |
| Reference:
|
[27] Vougiouklis T.: Groups in hypergroups.Annals Discrete Math., 37 (1988), 459-468. Zbl 0652.20071, MR 0931349, 10.1016/S0167-5060(08)70269-3 |
| Reference:
|
[28] Vougiouklis T.: Isomorphism on $H\sb v$-hyperstructures and cyclicity.Ars Combinatoria, V. 29 A, (1990), 242-245. MR 1412827 |
| Reference:
|
[29] Vougiouklis T.: The fundamental relation in hyperrings. The general hyperfield.Fourth Internat. Congress Algebraic Hyperstructures and Applications, Xanthi 1990. World Scientific (1991), 209-217. MR 1125332 |
| Reference:
|
[30] Vougiouklis T.: $H\sb v$-groups defined on the same set.Combinatorics 92, preprint. Zbl 0855.20057, MR 1401379 |
| Reference:
|
[31] Vougiouklis T.: $H\sb v$-vector spaces.Algebraic Hyperstructures and Applications, Proc. Fifth Internat. Congress on AHA lasi, Roumania 1993, Hadronic Press, Inc. Palm Harbor (1994), 181-190. MR 1301576 |
| Reference:
|
[32] Vougiouklis T.: Hyperstructures and their Representations.Hadronic Press Monographs in Mathematics, Palm Harbor Florida 1994. Zbl 0828.20076, MR 1270451 |
| Reference:
|
[33] Vougiouklis T.: A new class of hyperstructures.Journ. Comb. Inf. System Sciences, V. 20, (1995), 229-235. Zbl 0874.20052, MR 1735049 |
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