Homomorphic relation on hyperingoinds and join hyperrings

Authors

  • Geronimos G. Massouros
  • Christos G. Massouros

Abstract

This paper is a study of the Join Hyperringoid, which is a hypercompositional structure that has appeared recently. Here appear the homomorphic relations and a special type of such relations, the congruence ones. Moreover, the homomorphisms of the join hyperringoids are being studied, along with the homomorphisms of the Fortified Join Hyperringoids.

References

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C.C. MASSOUROS : Normal hornornorphisms of Fortified Join Hypergroups. Proceedings of the 5th Internat. Cong. in Algebraic Hyperstructures and Applications. pp. 133-142, Iasi 1993. Hadronic Press 1994.

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G.G. MASSOUROS : Automata-Languages and hypercompositional structures, Doctoral Thesis, Depart. of Electrical Engineering and Computer Engineering of the National Technical University of Athens, 1993.

G.G. MASSOUROS : Automata and Hypermoduloids. Proceedings of the 5th Internat. Cong. in Algebraic Hyperstructures and Applications. pp. 251-266, Iasi 1993. Hadronic Press 1994.

G.G. MASSOUROS : Fortified Join Hypergroups and Join fhperrings. An. stiintifice Univ. AL 1. Cuza, Iasi, sect. I, Matematica, n. 3, 1995,

J. MITTAS : Hypergroupes canoniques. Mathematica Balkanica, 2, pp. 165- 179, 1972.

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Published

1999-02-18

Issue

Vol. 13 (1999)

Section

Volume 13-1999

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