On certain proximities and preorderings on the transposition hypergroups of linear first-order partial differential operators.

Authors

CHVALINA Jan HOŠKOVÁ-MAYEROVÁ Šárka

Year of publication 2014
Type Article in Periodical
Magazine / Source Analele Stiintifice ale Univ. “Ovidius” Constanta. Seria Math.
MU Faculty or unit

Faculty of Education

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.

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