Construction of composition (m, n, k)-hyperrings

[1] I. Adler, Composition rings, Duke Math. J., 29 (1962), 607-623.10.1215/S0012-7094-62-02961-7Search in Google Scholar

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

[3] B. Davvaz, A new view of fundamental relations on hyperrings, Proceed- ings of 10th Int. Congress on Algebraic Hyperstructures and Applications, AHA 2008, pp. 43-55.Search in Google Scholar

[4] B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications, International Academic Press, USA, 2007.Search in Google Scholar

[5] B. Davvaz, W.A. Dudek and T. Vougiouklis, A generalization of n-ary algebraic systems, Comm. Algebra, 37(4) (2009), 1248-1263.10.1080/00927870802466835Open DOISearch in Google Scholar

[6] B. Davvaz and T. Vougiouklis, n-ary hypergroups, Iran. J. Sci. Technol. Trans. A, 30(2) (2006), 165-174.Search in Google Scholar

[7] S. Jančić-Rašović and V. Dašić, Some new classes of (m; n)-hyperrings, Faculty of Sciences and Mathematics, University of Nis, Serbia, 26(3) (2012), 585-596.10.2298/FIL1203585JSearch in Google Scholar

[8] M. Krasner, A class of hyperrings and hyperfields, International Journal of Mathematics and Mathematical Sciences, 2 (1983), 307-312.10.1155/S0161171283000265Search in Google Scholar

[9] V. Leoreanu-Fotea, Canonical n-ary hypergroups, Italian. J. Pure Appl. Math., 24 (2008).Search in Google Scholar

[10] S. Mirvakili and B. Davvaz, Constructions of (m; n)-hyperrings, Matematicki Vesnik, 67(1) (2015), 1-16.Search in Google Scholar

[11] S. Mirvakili and B. Davvaz, Relations on Krasner (m; n)-hyperrings, European. J. Combin., 31 (2010), 790-802.10.1016/j.ejc.2009.07.006Search in Google Scholar