Strongly transitive geometric spaces: Applications to hypergroups and semigroups theory

Communications in Algebra

Volumn 32, Issue 3, 2004, Pages 969-988

  Freni, Domenico ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

0 Simple semigroup; Derived hypergroup; Geometric spaces; Hypergroup; Semi hypergroup; Strongly regular equivalence

Indexed keywords

EID: 22744438097     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1081/AGB-120027961     Document Type: Article

References (12)

1. Corsini, P., Freni, D. (1993). On the heart of hypergroup. In: Mathematica Montisnigris. Vol. II. Montenegro, pp. 21-27.
2. Freni, D. (1984). Structure des hypergroupes quotients et des hypergroupes de type U. Ann. Sci. Univ. Clermont II, Sér. Math. 22:51-77.
3. Freni, D. (1987). Sur les hypergroupes de type U et sous-hypergroupes engendrés par un sous-ensemble. Riv. Mat. Univ. Parma 13(4):29-41.
4. Freni, D. (1991). Une note sur le cœur d'un hypergroupe et sur la cloture β* de β. Mat. Pura e Appl. 8:153-156.
5. Freni, D. (1992). On a strongly regular relation in hypergroupoids. Pure Math. Appl. Ser. A 3-4:191-198.
6. Freni, D. (1994). Hypergroupoids and fundamental relations. In: Algebraic Hyperstructures and Applications (Iasi 1993). Palm Harbor, Fl: Hadronic Press, pp. 81-92.
7. Freni, D. (2002). A new characterization of the derived hypergroup via strongly regular equivalences. Comm. Algebra 30(8):3977-3989.
8. Gutan, M. (1996). On the transitivity of the relation β in semihypergroups. Rend. Circ. Mat. Palermo (2) 45:189-200.
9. Gutan, M. (1997). Properties of hyperproducts and the relation β in quasihypergroups. Ratio Matematica 12:19-34.
10. Howie, J. M. (1995). Fundamentals of Semigroup Theory. Oxford: Clarendon Press.
11. Koskas, M. (1970). Groupoïdes, demi-hypergroupes et hypergroupes. J. Math. Pures et Appl. 49:155-192.
12. Tallini, G. (1997). Dimensions in multivalued algebraic structures. Italian J. Pure Appl. Math. 1:51-64.