Multistructures determined by differential rings

Jan Chvalina and Ludmila Chvalinova

Address. Department of Mathematics, Faculty of Education, Masaryk University, Porici 31, 603 00 Brno, Czech Republic

Department of Mathematics, Faculty of Mechanical Engineering, Technical University, Technicka 2, 61669 Brno, Czech Republic


Abstract. Multistructures namely hypergroups are playing very essential role in contemporary mathematics. This contribution aims at some natural constructions of such multistructures defined on differential rings with differentiation operators which can be especially applied to rings of continuously differentiable functions.

AMSclassification. 12H05, 13B10, 20N99, 26A24

Keywords. Differential ring, differential homomorphism, indefinite integral, quasi-hypergroup, commutative hypergroup.