On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order 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” ap...
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| Format: | Article |
| Language: | English |
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Sciendo
2014-12-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2014-0008 |
| _version_ | 1818308800977829888 |
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| author | Chvalina Jan Hošková-Mayerová Šárka |
| author_facet | Chvalina Jan Hošková-Mayerová Šárka |
| author_sort | Chvalina Jan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T07:20:02Z |
| format | Article |
| id | doaj.art-679ed7f47d294b6e8d5e072da308ba3c |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T07:20:02Z |
| publishDate | 2014-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-679ed7f47d294b6e8d5e072da308ba3c2022-12-21T23:55:26ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352014-12-012218510310.2478/auom-2014-0008On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential OperatorsChvalina Jan0Hošková-Mayerová Šárka1Department of Mathematics, Brno, University of Technology, Czech Republic.Department of Mathematics and Physics, Brno, University of Defence, Czech Republic.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.https://doi.org/10.2478/auom-2014-0008action of a hyperstructure on a setsemihypergrouphypergroupproximity spacetransformation hypergrouptolerance on a join spaceregularly preordered hypergroupordered semigroup and grouppartial differential operator |
| spellingShingle | Chvalina Jan Hošková-Mayerová Šárka On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica 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 |
| title | On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators |
| title_full | On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators |
| title_fullStr | On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators |
| title_full_unstemmed | On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators |
| title_short | On Certain Proximities and Preorderings on the Transposition Hypergroups of Linear First-Order Partial Differential Operators |
| title_sort | on certain proximities and preorderings on the transposition hypergroups of linear first order partial differential operators |
| topic | 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 |
| url | https://doi.org/10.2478/auom-2014-0008 |
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