Contributions in Mathematics: Hyperstructures of Professor Thomas Vougiouklis

Violeta Leoreanu - Fotea


After presenting some basic notions of hyperstructures and their applications, I shall point out on the contribution of Professor Thomas Vougiouklis to this field of research: algebraic hyperstructures.


weak hyperstructure

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R. Bayon and N. Lygeros, Advanced results in enumeration of hyperstructures, Journal of Algebra (Computational Algebra), 320/2 (2008),821-835

P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, Italy, (1993)

P. Corsini, P and V. Leoreanu, Applications of Hyperstructure Theory, Kluwer Aademic Publishers, Advances in Mathematics, vol. 5, 2003.

B. Davvaz and V. Leoreanu - Fotea, Hyperring theory and Applications, Hadronic Press, 2008.

F. Marty, Sur une généralisation de la notion de groupe, Actes du IV Congrès des Mathématiciens Scandinaves, Stockholm, (1934), 45-49.

W. Prenowitz and J. Jantosciak, Join geometries, Springer-Verlag, UTM, 1979.

T. Vougiouklis, PhD: Cyclicity in Hypergroups, in Greek, Xanthi, 1980

T. Vougiouklis, Hyperstructures and their Representations, Hadronic Press, Inc., 1994.

T. Vougiouklis, Generalization of P-hypergroups, Rendiconti del Circolo Matematico di Palermo, Serie II, Tomo XXXVI¡ (1987), 114-121

T.Vougiouklis, Representationofhypergroupsbygeneralizedpermutations, Algebra Universalis 29 (1992), 172-183.

T. Vougiouklis, Representations of H v -structures, Proceedings of the International Conference on Group Theory, Timisoara, (1992), 159-184.

T. Vougiouklis, H v -structures:Birth and... childhood, J. of Basic Science, 4, No.1 (2008), 119-133.

T. Vougiouklis, ∂ - operations and H V -fields, Acta Math. Sinica, English Series, vol. 24 (2008), no. 7, 1067-1078.

T. Vougiouklis, On the hyperstructures called ∂ - hope, 10 th Int. Congress on Algebraic Hyperstructures and Appl., (2008), 97-112,

T. Vougiouklis, Hypermatrix representations of finite H v - groups, European J. of Combinatorics, 44 (2015), 307-3113.

T. Vougiouklis, Hypermathematics, H v - Structures, Hypernumbers, Hypermatrices and Lie-Santilli Addmissibility, American J. of Modern Physics, (2015), 4(5), 38-46.

T. Vougiouklis, Special Elements on P-hopes and ∂ - hopes, Southeast Asian Bull. of Math. (2016), 40, 451-460.

T. Vougiouklis, On the Hyperstructure Theory, Southeast Asian Bull. of Math. (2016), 40, 603-620.

T. Vougiouklis, Hypernumbers, finite hyper-fields , Algebra, Groups and Geometries, vol. 33, no. 4 (2016), 471-490.

S .Vougioukli and T. Vougiouklis, Helix-hopes on finite H v -fields , Algebra, Groups and Geometries, vol. 33, no. 4 (2016), 491-506.

R. Majoob and T. Vougiouklis, Applications of the uniting elements method, It. J. of Pure and Appl. Math., 36 (2016), 23-34.



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