A NEW CHARACTERIZATION OF THE DERIVED HYPERGROUP VIA STRONGLY REGULAR EQUIVALENCES

By D. Freni. 2002

125 citations recorded by the source corpus.

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Strongly Transitive Geometric Spaces: Applications to Hypergroups and Semigroups Theory (2004, methodology): “Of special interest are the transitive closures β* and γ* of the relations β and γ (see Corsini and Freni, 1993 ; Freni, 1991 1992 1994 2002 ; Gutan, 1997 ; Koskas, 1970 ; Tallini, 1997 ), since they allow us to characterize the heart and the derived hypergroup of a hypergroup.”
Commutative Rings Obtained from Hyperrings (H v -rings) with α*-Relations (2007, background): “Among others he defined the γ-relation on semi-hypergroups and hypergroups, see Freni ( 2002 2004 ).”
Strongly transitive geometric spaces associated to hypermodules (2009, methodology): “Freni [11] used the notion the cone of X and obtained the closure of X, as it is shown in the next result.”
A Generalization of n-Ary Algebraic Systems (2009, unknown): “The relation (resp., ∗) was introduced on hypergroups by Koskas (1970) and was studied mainly by Corsini (1993), Davvaz (2003), Freni (2002, 2004), and Vougiouklis (1992, 1994).”
Multiplicative hyperring of fractions and coprime hyperideals (2017, methodology): “The fundamental relation β∗ on hypergroups was defined by Koskas [18], mainly studied by Corsini [20], Freni [16, 17], Vou- giouklis [41] (for more details about hyperrings and fundamental relations on hyperrings see [1, 2, 12, 13, 36, 41]).”