Cite

[1] R. Ameri, M. Norouzi, New fundamental relation of hyperrings, European J. Combin., 34 (2013) 884-891.Search in Google Scholar

[2] R. Ameri, M. Norouzi, Prime and primary hyperideals in Krasner (m; n) - hyperrings, European J. Combin., 34 (2013) 379-390.10.1016/j.ejc.2012.12.003Search in Google Scholar

[3] R. Ameri, S. Hoskova-Mayerova, M. Amiri-Bideshki, A. Borumand Saeid, Prime filters of hyperlattices. An. Stiint. Univ. “Ovidius" Constanta Ser. Mat., 24(2) (2016) 15-26.10.1515/auom-2016-0025Search in Google Scholar

[4] A. Asokkumar, M. Velrajan, Characterizations of regular hyperrings, Ital. J. Pure Appl. Math., 22 (2007) 115-124.Search in Google Scholar

[5] A. Asokkumar, M. Velrajan, Hyperring of matrices over a regular hyper- ring, Ital. J. of Pure Appl. Math., 23 (2008) 13-120.Search in Google Scholar

[6] P. Corsini, Prolegomena of hypergroup theory, Second ed., Aviani Editore, 1993.Search in Google Scholar

[7] P. Corsini, V. Leoreanu, Applications of hyperstructures theory, Adv. Math., Kluwer Academic Publishers, 2003.10.1007/978-1-4757-3714-1Search in Google Scholar

[8] J. Chvalina, J., Š. Křehlík, M. Novák, Cartesian composition and the problem of generalizing the MAC condition to quasi- multiautomata, An. Stiint. Univ. “Ovidius" Constanta Ser. Mat., 24(3) (2016) 79-100.10.1515/auom-2016-0049Search in Google Scholar

[9] I. Cristea, S. Jancic-Rasovic, Compositions Hyperrings, An. Stiint. Univ. “Ovidius" Constanta Ser. Mat., 21(2) (2013) 81-94.10.2478/auom-2013-0024Search in Google Scholar

[10] I. Cristea, Regularity of Intuitionistic Fuzzy Relations on Hyper- groupoids, An. Stiint. Univ. “Ovidius" Constanta Ser. Mat., 22(1) (2014) 105-119.10.2478/auom-2014-0009Search in Google Scholar

[11] U. Dasgupta, Prime and primary hyperideals of a multiplicative hyperring, An. Stiint. Univ. Al. I. Cuza Iasi.Mat., 58(1) (2012) 19-36.10.2478/v10157-011-0039-7Search in Google Scholar

[12] B. Davvaz, S. Mirvakili, On α -relation and transitive condition of α, Commun. Algebra, 36(5) (2008) 1695-1703.10.1080/00927870801937364Search in Google Scholar

[13] B. Davvaz, T. Vougiouklis, Commutative rings obtained from hyperrings (Hv-rings) with α*-relations, Comm. Algebra, 35 (2007) 3307-3320.10.1080/00927870701410629Search in Google Scholar

[14] B. Davvaz, V. Leoreanu-Fotea, Hyperring theory and applications, Inter- national Academic Press, USA, 2007.Search in Google Scholar

[15] M. De Salvo, G. Lo Faro, On the n*-complete hypergroups, Discrete Math. 208/209 (1990) 177-188.10.1016/S0012-365X(99)00071-0Search in Google Scholar

[16] D. Freni, A new characterization of the derived hypergroup via strongly regular equivalences, Comm. Algebra, 30(8) (2002) 3977-3989.10.1081/AGB-120005830Search in Google Scholar

[17] D. Freni, Strongly transitive geometric spaces: Applications to hyper- groups and semigroups theory, Comm. Algebra, 32 (2004) 969-988.10.1081/AGB-120027961Open DOISearch in Google Scholar

[18] M. Koskas, Groupoids, demi-groupes et hypergroupes, J. Math. Pures Appl., 49 (1970) 155-192.Search in Google Scholar

[19] M. Krasner, A class of hyperrings and hyperfields, Int. J. Math. Math. Sci. 2 (1983) 307-312.10.1155/S0161171283000265Open DOISearch in Google Scholar

[20] F. Marty, Sur une generalization de la notion de groupe, In: 8iem Congres des Mathematiciens Scandinaves, Stockholm, (1934) 45-49.Search in Google Scholar

[21] C. G. Massouros, On the theory of hyperrings and hyperfields, Algebra i Logika, 24 (1985) 728-742.10.1007/BF01978850Search in Google Scholar

[22] J. Mittas, Hypergroups canoniques, Math. Balkanica, 2 (1972) 165-179.Search in Google Scholar

[23] J. Mittas, Sur les hyperanneaux et les hypercorps, Math. Balkanica, 3 (1973), 368-382.Search in Google Scholar

[24] A. Nakassis, Recent Result in hyperring and Hyperfield Theory, Int. J. Math. Math. Sci, 11(2) (1988) 209-220.10.1155/S0161171288000250Open DOISearch in Google Scholar

[25] M. Nov_ak, n-ary hyperstructures constructed from binary quasi-orderer semigroups, An. Stiint. Univ. \Ovidius" Constanta Ser. Mat., 22(3) (2014) 147-168.10.2478/auom-2014-0056Search in Google Scholar

[26] D. M. Olson and V. K. Ward,A note on multiplicative hyperrings, Italian J. Pure Appl. Math., 1 (1997) 77-84.Search in Google Scholar

[27] C. Pelea, Hyperrings and α*-relations. A general approach, J. Algebra, 383, 1 (2013) 104-128.10.1016/j.jalgebra.2013.02.025Search in Google Scholar

[28] C. Pelea, I. Purdea and L. Stanca Factor multialgebras, universal algebras and fuzzy sets, Carpathian J. Math. 31(1) (2015), 111-118.10.37193/CJM.2015.01.13Search in Google Scholar

[29] R. Procesi-Ciampi, R. Rota, The hyperring spectrum, Riv. Mat. Pura Appl., 1 (1987) 71-80.Search in Google Scholar

[30] R. Procesi, R. Rota, On some classes of hyperstructures, Combinatorics Discrete Math., 208/209 (1999) 485-497.10.1016/S0012-365X(99)00092-8Search in Google Scholar

[31] A. Rahnamai Barghi,A class of hyperrings, J. Discrete Math. Sci. Cryptogr., 6 (2003) 227-233.10.1080/09720529.2003.10697979Search in Google Scholar

[32] R. Rota, Strongly distributive multiplicative hyperrings, J. Geom., 39 (1990) 130-138.10.1007/BF01222145Search in Google Scholar

[33] R. Rota, Sugli iperanelli moltiplicativi, Rend. Di Mat., Series V II (4), 2 (1982) 711-724.Search in Google Scholar

[34] R. Rota, Congruenze sugli iperanelli moltiplicativi, Rend. Di Mat., Series V II (1), 3 (1983) 17-31.Search in Google Scholar

[35] R. Rota, Sulla categoria degli iperanelli moltiplicativi, Rend. Di Mat., Series V II (1), 4 (1984) 75-84.Search in Google Scholar

[36] S. Spartalis, T. Vougiouklis, The fundamental relations on Hv-rings, Math. Pure Appl., 13 (1994) 7-20.Search in Google Scholar

[37] S. Spartalis, A class of hyperrings, Riv. Mat. Pura Appl.,4 (1989), 55-64.Search in Google Scholar

[38] S. Spartalis, (H;R)-hyperrings, Algebraic hyperstructures and applications (Xanthi, 1990), 187-195, World Sci. Publ., Teaneck, NJ, 1991.Search in Google Scholar

[39] D. Stratigopoulos, Hyperanneaux non commutatifs: Le radical d'un hy- peranneau, somme sous-directe des hyperanneaux artiniens et theorie des elements idempotents, C.R. Acad. Sci. Paris, 269 (1969), 627-629.Search in Google Scholar

[40] T. Vougiouklis, Hyperstructures and Their Representations, Hadronic Press, Inc., Palm Harber, USA, 1994.Search in Google Scholar

[41] T. Vougiouklis, The fundamental relation in hyperrings, The general hyperfield, In: Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications, AHA, 1990, World Scientific, 1991, 203-211.10.1142/9789814539555Search in Google Scholar

[42] M. M. Zahedi, R. Ameri, On the prime, primary and maximal subhyper- modules, Ital. J. Pure Appl. Math., 5 (1999) 61-80.Search in Google Scholar

eISSN:
1844-0835
Idioma:
Inglés
Calendario de la edición:
Volume Open
Temas de la revista:
Mathematics, General Mathematics