On certain proximities and preorderings on the transposition hypergroups of linear first-order partial differential operators.
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Chvalina, Jan
Mayerová, Šárka
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Referee
Mark
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Ovidius University of Constana
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0000-0003-2852-0940 Altmetrics
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.
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.
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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. , 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.
Citation
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica. 2014, vol. 22, issue 1, p. 85;-103.
https://www.sciendo.com/article/10.2478/auom-2014-0008
https://www.sciendo.com/article/10.2478/auom-2014-0008
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Peer-reviewed
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en
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