Open Access

n–ary hyperstructures constructed from binary quasi–ordered semigroups

   | Dec 22, 2015

Cite

[1] S. M. Anvariyeh, S. Momeni, n–ary hypergroups associated with n–ary relations, Bull. Korean Math. Soc. 50 (2013)(2), 507–524, http://dx.doi.org/10.4134/BKMS.2013.50.2.507.Search in Google Scholar

[2] R. Ameri, M. Norouzi, Prime and primary hyperideals in Krasner (m, n)–hyperrings, European J. Combin., 34 (2013), 379–390, http://dx.doi.org/10.1016/j.ejc.2012.08.002.Search in Google Scholar

[3] J. Chvalina, Commutative hypergroups in the sense of Marty and ordered sets, Gen. Alg. and Ordered Sets, Proc. Inter. Conf. Olomouc, (1994), 19–30.Search in Google Scholar

[4] J. Chvalina, Functional Graphs, Quasi-ordered Sets and Commutative Hypergroups, Masaryk University, Brno, 1995 (in Czech).Search in Google Scholar

[5] J. Chvalina, Šárka Hošková–Mayerová, A. D. Nezhad, General actions of hyperstructures and some applications, An. Şt. Univ. Ovidius Constanta, 21(1) (2013), 59-82.10.2478/auom-2013-0004Search in Google Scholar

[6] J. Chvalina, L. Chvalinová, Join spaces of linear ordinary differential operators of the second order, Folia FSN Universitatis Masarykianae Brunensis, Mathematica 13, CDDE – Proc. Colloquium on Differential and Difference Equations, Brno, (2002), 77–86.Search in Google Scholar

[7] I. Cristea, Several aspects on the hypergroups associated with n-ary relations, An. Şt. Univ. Ovidius Constanta, 17(3) (2009), 99-110.Search in Google Scholar

[8] I. Cristea, S. Jančić-Rašović, Composition hyperrings, An. Şt. Univ. Ovidius Constanta, 21(2) (2013), 81–94.10.2478/auom-2013-0024Search in Google Scholar

[9] I. Cristea, M. Ştefănescu, Hypergroups and n-ary relations, European J. Combin., 31(2010), 780–789, http://dx.doi.org/10.1016/j.ejc.2009.07.005.Search in Google Scholar

[10] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Kluwer Academic Publishers, Dodrecht – Boston – London, 2003.10.1007/978-1-4757-3714-1Search in Google Scholar

[11] P. Corsini, Hyperstructures associated with ordered sets, Bul. of the Greek Math. Soc. 48 (2003), 7–18.Search in Google Scholar

[12] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, 1993.Search in Google Scholar

[13] B. Davvaz, T. Vougiouklis, n–ary hypergroups, Iran. J. Sci. Technol. Trans. A-Sci., 30(A2), 2006.Search in Google Scholar

[14] D. Heidari, B. Davvaz, On ordered hyperstructures, U.P.B. Sci. Bull. Series A, 73(2) (2011).Search in Google Scholar

[15] V. Leoreanu, Canonical n–ary hypergroups, Ital. J. Pure Appl. Math. 24 (2008).Search in Google Scholar

[16] V. Leoreanu-Fotea, P. Corsini, Isomorphisms of hypergroups and of n–hypergroups with applications, Soft. Comput. (2009), 13:985–994, http://dx.doi.org/10.1007/s00500-008-0341-9.Search in Google Scholar

[17] V. Leoreanu-Fotea, B. Davvaz, n–hypergroups and binary relations, European J. Combin., 29 (2008), 1207–1218, http://dx.doi.org/10.1016/j.ejc.2007.06.025.Search in Google Scholar

[18] F. P. Miller, A. F. Vandsome, J. McBrewster, Iterated Binary Operation, Alphascript Publishing, 2010.Search in Google Scholar

[19] M. Novák, Important elements of EL–hyperstructures, in: APLIMAT: 10th International Conference, STU in Bratislava, Bratislava, 2011, 151–158.Search in Google Scholar

[20] M. Novák, Potential of the ”Ends lemma” to create ring-like hyperstructures from quasi-ordered (semi)groups, South Bohemia Mathem. Letters 17(1) (2009), 39–50.Search in Google Scholar

[21] M. Novák, Some basic properties of EL–hyperstructures, European J. Combin., 34 (2013) 446–459. http://dx.doi.org/10.1016/j.ejc.2012.09.005Search in Google Scholar

[22] M. Novák, The notion of subhyperstructure of ”Ends lemma”–based hyperstructures, Aplimat – J. of Applied Mathematics, 3(II) (2010), 237–247.Search in Google Scholar

[23] I. G. Rosenberg, Hypergroups and join spaces determined by relations, Ital. J. Pure Appl. Math. 4 (1998), 93–101.Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics