Commutative rings obtained from hyperrings (Hv-rings) with *-relations

Communications in Algebra

Volumn 35, Issue 11, 2007, Pages 3307-3320

  Davvaz, B ^a   Vougiouklis, T ^b  

^a YAZD UNIVERSITY   (Iran)

^b DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

Author keywords

Fundamental relation; Hv Ring; Hypergroup; Hyperring; Strongly regular relation

Indexed keywords

EID: 35449003139     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00927870701410629     Document Type: Article

References (23)

1. Corsini, P. (1993). Prolegomena of Hypergroup Theory. Suppl. to Riv. Mat. Pura Appl. 2nd ed. Aviani Editor, Tricesimo.
2. Corsini, P., Leoreanu, V. (1996). About the heart of a hypergroup. Acta Univ. Carolinae 37:17-28.
3. Corsini, P., Leoreanu, V. (2003). Applications of Hyperstructure Theory. Advances in Mathematics. Kluwer Academic Publishers.
4. v-structures. In: Proc. 8th International Congress on Algebraic Hyperstructures and Applications, 1-9 Sep. 2002, Spanidis Press, Samothraki, Greece, pp. 39-70.
5. Davvaz, B. (2004). Isomorphism theorems of hyperrings. Indian J. Pure Appl. Math. 35(3):321-331.
6. Davvaz, B., Salasi, A. (2006). A realization of hyperrings. Comm. Algebra 34(12):4389-4400.
7. Freni, D. (1991). Une note sur le coeur d'un hypergroupe et sur la cloture β* de β. Mat. Pura e Appl. 8:153-156.
8. Freni, D. (2002). A new characterization of the derived hypergroup via strongly regular equivalences. Comm. Algebra 30(8):3977-3989.
9. Freni, D. (2004). Strongly transitive geometric spaces: Applications to hypergroups and semigroups theory. Comm Algebra 32(8):969-988.
10. Koskas, M. (1970). Groupoides, Demi-hypergroupes et hypergroupes. J. Math. Pure Appl. 49:155-192.
11. Krasner, M. (1983). A class of hyperrings and hyperfields. Intern. J. Math. Math. Sci. 6(2):307-312.
12. lem Congres Math. Scandinaves, Stockholm, pp. 45-49.
13. Mittas, J. (1972). Hypergroupes canoniques. Mathematica Balkanica 2:165-179.
14. Pelea, C. (2001). On the fundamental relation of a multialgebra. Italian J. Pure Appl. Math. 10:141-146.
15. Rota, R. (1996). Hyperaffine planes over hyperrings. Discrete Math. 155:215-223.
16. Spartalis, S. (1991). (H, R)-Hyperrings. In: Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), World Scientific, pp. 187-195.
17. v-rings. In: Proc. Sixth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1996), Democritus Univ. of Thrace Press, pp. 133-138.
18. v-rings. Riv. Mat. Pura Appl. 13:7-20.
19. Vougiouklis, T. (1987). Representations of hypergroups by hypermatrices. Rivista di Mat. Pura ed Appl. 2:7-19.
20. Vougiouklis, T. (1988). Groups in hypergroups. Ann. Discrete Math. 37:459-468.
21. Vougiouklis, T. (1991). The Fundamental relation in hyperrings. The general hyperfield. In: Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), World Scientific, pp. 203-211.
22. Vougiouklis, T. (1994). Hyperstructures and Their Representations. Palm Harber, USA: Hadronic Press, Inc, pp. 115.
23. Vougiouklis, T. (1995). Some results on hyperstructures. Contemporary Math. 184:427-431.