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

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

Článek WoS

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.

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.

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.

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.

CHVALINA, J.; MAYEROVÁ, Š.

2015

01.07.2014

Ovidius University of Constanța

1224-1784

Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica

22

1

Rumunsko

85;

103

19

https://www.sciendo.com/article/10.2478/auom-2014-0008

http://hdl.handle.net/11012/201756

10.2478_auom-2014-0008