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.

Type

journal article in Web of Science

Language

English

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.

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.

Authors

CHVALINA, J.; MAYEROVÁ, Š.

RIV year

2014

Released

1. 7. 2014

Publisher

Ovidius University of Constanța

ISBN

1224-1784

Periodical

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica

Year of study

22

Number

1

State

Romania

Pages from

85;

Pages to

103

Pages count

19

URL

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

Full text in the Digital Library

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