Publication detail

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

CHVALINA, J. MAYEROVÁ, Š.

Original Title

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

English Title

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

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

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.

RIV year

2014

Released

01.07.2014

ISBN

1224-1784

Periodical

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica

Year of study

2014

Number

22

State

RO

Pages from

85;

Pages to

103

Pages count

19

Documents

BibTex


@article{BUT111426,
  author="Jan {Chvalina} and Šárka {Mayerová}",
  title="On certain proximities and preorderings on the transposition hypergroups of linear first-order partial differential operators.",
  annote="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.",
  chapter="111426",
  doi="10.2478/auom-2014-0008",
  number="22",
  volume="2014",
  year="2014",
  month="july",
  pages="85;--103",
  type="journal article in Web of Science"
}