Dott. Domenico Freni

email:

Telefono +39 0432 558430
Stanza: SE19

Breve curriculum

Laurea degree in Mathematics (1981, Univ. Messina).
CNR grant (1983--85, hypergroup theory, Clermont-Ferrand).
Ph.D. in Mathematics (1985, Clermont-Ferrand).
Lecturer in Calculus (1985--88, University of Udine).
Since 1990, Research Professor (Ricercatore) in Geometry within the Faculty of Engineering, University of Udine.

Attivita' di ricerca

My research activity concerns Group Theory, Semigroup Theory, and Hyperstructure Theory. I am author of more than 35 papers on that subject.

Here is a partial list of my most relevant papers:

Structure des hypergroupes quotients et des hypergroupes de type U. Ann. Sci. Univ. Clermont-Ferrand II Math. 22 (1984), 51-77.
Sur les hypergroupes de type U et sous-hypergroupes engendres par un sous-ensemble. Riv. Mat. Univ. Parma 13 (1987), 29-41.
Une note sur le coeur d'un hypergroupe et sur la cloture transitive β* de β. Riv. Mat. Pura Appl. 8 (1991), 153-156.
(with P. Corsini) On the heart of hypergroups. Mathematica Montisnigri 2 (1993), 21-27.
(with M. Gutan) Sur les hypergroupes de type U. Mathematica (Cluj) 36 (1994), 25-32.
(with M. Gutan and Y. Sureau) Sur le groupe des scalaires d'un hypergroupe. Proceedings "New frontiers in hyperstructures and related algebras", Hadronic Press (1995), 103-124.
(with Y. Sureau) Hypergroupe de type U et homologie de Complexes. Algebra Universalis 35 (1996), 34-62.
(with M. De Salvo and G. Lo Faro) On the hypergroups with four proper pairs and without scalars. Annales Mathematiques Blaise Pascal 3 (1996), 67-109.
(with M. De Salvo and G. Lo Faro) On the hypergroups with four proper pairs and two or three non scalar elements. Rendiconti del Circolo Matematico di Palermo 46, 29-51 (1997).
(with M. De Salvo and G. Lo Faro) On the hypergroups with four proper pairs and three or four non scalar elements. Analele Stiintifice Univ. Al. I Cuza Iasi (Romania) 43 (1997), 103-132.
(with N. Rodino') Sur le groupe des automorphismes d'un groupoide. Ann. Math. Blaise Pascal 5 (1998), 21-37.
(h,A)-linear maps, homomorphisms of M_A-hypergroupoids. Matematiche (Catania) 54 (2001), 375--397.
A new characterization of the derived hypergroup via strongly regular equivalences. Comm. Algebra 30 (2002), 3977--3989.
Strongly transitive geometric spaces: applications to hypergroups and semigroups theory. Comm. Algebra 32 (2004), 969--988.
(with M. De Salvo and G. Lo Faro) A new family of hypergroups and hypergroups of type U on the right of size five. Far East J. Math. Sci. 26 (2007), 393--418.
(with D. Fasino) Existence of proper semihypergroups of type U on the right. Discrete Mathematics 307 (2007), 2826--2836.
(with D. Fasino) Minimal order semihypergroups of type U on the right. Mediterr. J. Math. (2008), to appear.

Attivita' di formazione

Current teaching duties: Linear Algebra (Algebra Lineare) and Matematica 1 (Basic Calculus), Faculty of Engineering, University of Udine.

My recent book:
Domenico Freni, Jung Kyu Canci
Algebra Lineare e Geometria: Esercizi e complementi.
Pearson Paravia Bruno Mondadori SpA (2008).

Università degli Studi di Udine