θ*-Relation on hypermodules and fundamental modules over commutative fundamental rings

Communications in Algebra

Volumn 36, Issue 2, 2008, Pages 622-631

  Anvariyeh, S M ^a   Mirvakili, S ^a   Davvaz, B ^a  

^a YAZD UNIVERSITY   (Iran)

Author keywords

Fundamental relation; Hypermodule; Hyperring; Strongly regular relation

Indexed keywords

EID: 41849123100     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00927870701724078     Document Type: Article

References (21)

1. Corsini, P. (1993). Prolegomena of Hypergroup Theory. Aviani Editore.
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. Proc. 8th International Congress on Algebraic Hyperstructures and Applications. 1-9 Sep. 2002. Samothraki, Greece: Spanidis Press, 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. Communications in Algebra 34(12):4389-4400.
7. n -complete hypergroups. European J. Combinatories 28:86-93.
8. v-rings) with α*-relations. Communication in Algebra 35:3307-3320.
9. 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.
10. Freni, D. (2002). A new characterization of the derived hypergroup via strongly regular equivalences. Communication in Algebra 30(8):3977-3989.
11. Freni, D. (2004). Strongly transitive geometric spaces: applications to hypergroups and semigroups theory. Communication in Algebra 32(8):969-988.
12. Koskas, M. (1970). Groupoides, demi-hypergroupes et hypergroupes. J. Math. Pure Appl. 49:155-192.
13. Krasner, M. (1983). A class of hyperrings and hyperfields. Intern. J. Math. Math. Sci. 6(2):307-312.
14. Marty, F. (1934). Sur une generalization de la notion de groupe. 8iem Congres Math. Scandinaves, Stockholm, pp. 45-49.
15. Pelea, C. (2001). On the fundamental relation of a multialgebra. Italian J. Pure Appl. Math. 10:141-146.
16. Rota, R. (1996). Hyperaffine planes over hyperrings. Discrete Math. 155:215-223.
17. Vougiouklis, T. (1987). Representations of hypergroups by hypermatrices. Rivista di Mat. Pura ed Appl. 2:7-19.
18. Vougiouklis, T. (1988). Groups in hypergroups. Annals Discrete Math. 37:459-468.
19. Vougiouklis, T. (1991). The fundamental relation in hyperrings. The general hyperfield. Proc. Fourth Int. Congress on Algebraic Hyperstructures and Applications (AHA 1990), World Scientific, pp. 203-211.
20. Vougiouklis, T. (1994). Hyperstructures and their representations. 115, Palm Harber, USA: Hadronic Press, Inc.
21. Vougiouklis, T. (1995). Some results on hyperstructures. Contemporary Math. 184:427-431.