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Analele Universitatii "Ovidius" Constanta - Seria Matematica

The Journal of "Ovidius" University of Constanta

Editor-in-Chief: Flaut, Cristina

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1844-0835
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On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators

Jan Chvalina / Šárka Hošková-Mayerová
Published Online: 2014-12-10 | DOI: https://doi.org/10.2478/auom-2014-0008

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 differnetial operators. Moreover, there is also obtained a regularly preordered transpositions hypergroup of considered partial differntial operators.

Keywords: Action of a hyperstructure on a set; semihypergroup; hypergroup; proximity space; transformation hypergroup; tolerance on a join space; regularly preordered hypergroup; ordered semigroup and group; partial differential operator

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About the article

Received: 2013-04-01

Revised: 2013-05-01

Accepted: 2013-08-01

Published Online: 2014-12-10


Citation Information: Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN (Online) 1844-0835, DOI: https://doi.org/10.2478/auom-2014-0008.

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© 2014 Jan Chvalina and Šárka Hošková-Mayerová. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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