M-POLYSYMMETRICAL HYPERRINGS

John Mittas, Constantine N. Yatras

Abstract


In this paper a special case of canonical polysymmetrical hyperrings, the M-Polysymmetrical hyperrings, are studied and investigated in detail. Certain methods of their construction from rings are presented and a new class of hyperstructures, the M-Polysyrnrnetrical superrings, is intro-duced.

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References


DUBREIL, P. et DUBREIL - JACOTIN, Lecons Alge' bre moderne. Dunod, Paris, 1964.

KRASNER, M.: A class of hyperyings and hyperfields. Internat. J. Math. and Math. Sci., Vol. 6, No. 2, pp. 307-312, 1983.

MASSOUROS, CH. G.: On the theory of hyperrings and hyperfields. AAFEbPA H AOFHKA, Vol. 24, No. 6, pp. 728-742, 1985.

MASSOUROS, G.G. - MITTAS, J.: Languages automata and hyper-compositional structures. Proceedings of the Fourth International Con-gress on Algebraic Hyperstructures and 'Applications, pp. 137-147, Greece, 1990, World Scientific.

MITTAS, J.: Hyperanneaux et certaines de leurs proprietes. C.R. Acad. Sci. Paris, t. 269, Ser. A, pp. 623-626, 1969.

MITTAS, J.: Hypergroupes et hyperanneaux polysymetriques. C,R. Acad. Sc. Paris, t. 271, Ser. A, pp. 290-293, 1970.

MITTAS, J.: Sur les hyperanneaux et les hypercorps. Mathematica Bal-kanica, t. 3, pp. 368-382, 1973.

MITTAS, J.: Sur certains classes de structures hypercompositionnelles. flparructi in; AKohrittiac AO-rivdw, Toll. 48, oa. 302-318, 1973.

MITTAS, J.: Hypergroupes polysymetriques canoniques. Atti del con-vegno su ipergruppi, altre stnitture multivoche e lora applicazioni, pp. 1-25, 1985.

MITTAS, J.: Sur les structures hypercornpositionnelles. Proceedings of the Fourth international Congress on Algebraic Hyperstructures and Applications, pp. 9-31, Xanthi, Greece, 1990, World Scientific.

YATRAS, C.N.: M-polysyrnmetrical hypergroups. Riv. di Mat. pura ed Appl., No. 11, pp. 81-92, 1992.

YATRAS, C.N.: Subhypergroups of M-polysymmetrical hypergroups. Proceedings of the Fifth International Congress on Algebraic Hyper-structures and Applications, pp. 123-132, Jasi, Rumania, 1993, Had-ronic Press, INC.

YATRAS, C.N.: Homomorphisms in the theory of M-polysymmetrical hypergroups. International symposium on hyperstructures and their ap-plications, Thessaloniki 12-13 November, 1993.


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