On certain proximities and preorderings on the transposition hypergroups of linear first-order partial differential operators.
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Analele Stiintifice ale Univ. “Ovidius” Constanta. Seria Math. |
| MU Faculty or unit | |
| Citation | |
| Keywords | Action of a hyperstructure on a set, semihypergroup, hypergroup, proximity space, transformationm hypergroup, tolerance on a join space, regularly preordered hypergroup, ordered semigroup and group, partial differential operator. |
| Description | The contribution aims to create hypergroups of linear first-order partial differential operators with proximities, one of which creates a tolerance semigroup on the power set of the mentioned differential operators. Constructions of investigated hypergroups are based on the so called “Ends-Lemma” applied on ordered groups of differential operators. Moreover, there is also obtained a regularly preordered transposition hypergroup of considered partial differential operators. |