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

Chvalina, Jan; Hošková-Mayerová, Šárka

doi: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.

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

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