Applications of the γ-relation to polygroups

Communications in Algebra

Volumn 35, Issue 9, 2007, Pages 2698-2706

  Davvaz, B ^a  

^a YAZD UNIVERSITY   (Iran)

Author keywords

Relation; Derived hypergroup; Hypergroup; Polygroup; Strongly regular relation

Indexed keywords

EID: 34748851845     PISSN: 00927872     EISSN: 15324125     Source Type: Journal    
DOI: 10.1080/00927870701353217     Document Type: Article

References (13)

1. Comer, S. D. (1982). Extension of Polygroups by Polygroups and Their Representations Using Colour Schemes. Lecture Notes in Math., No 1004. Universal Algebra and Lattice Theory, pp. 91-103.
2. Comer, S. D. (1984). Polygroups derived from cogroups. J. Algebra 89(4):397-405.
3. Corsini, P. (1993). Prolegomena of Hypergroup Theory. Supplement to Riv. Mat. Pura Appl., Aviani Editor, Tricesimo.
4. Corsini, P., Leoreanu, V. (1996). About the heart of a hypergroup. Acta Univ. Carolinae 37:17-28.
5. Corsini, P., Leoreanu, V. (2003). Applications of Hyperstructure Theory. Advanced in Mathematics, Vol. 5. Kluwer Academic Publisher.
6. Davvaz, B. (2001). On polygroups and weak polygroups. Southeast Asian Bull. Math. 25:87-95.
7. n* complete hypergroups. Euroupean J. Combinatorics 28:86-93.
8. Freni, D. (2002). A new characterization of the derived hypergroup via strongly regular equivalences. Communications in Algebra 30(8):3977-3989.
9. Freni, D. (2004). Strongly transitive geometric spaces: applications to hypergroups and semigroups theory. Communications in Algebra 32(8):969-988.
10. Jantosciak, J. (1997). Transposition hypergroups: noncommutative join spaces. J. Algebra 187:97-119.
11. Koskas, M. (1970). Groupoides, demi-hypergroupes et hypergroupes. J. Math. Pure Appl. 49:155-192.
12. Vougiouklis, T. (1988). Groups in hypergroups. Annals Discrete Math. 37:459-468.
13. Vougiouklis, T. (1995). Some results on hyperstructures. Contemporary Math. 184:427-431.