Double Weak Hopf Quiver and Its Path Coalgebra
The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed. Mor...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5421294 |
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| _version_ | 1832563430659194880 |
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| author | Muhammad Naseer Khan Munir Ahmed Muhammad Arshad Waleed Almutiry Rashad A. R. Bantan Mohammed Elgarhy |
| author_facet | Muhammad Naseer Khan Munir Ahmed Muhammad Arshad Waleed Almutiry Rashad A. R. Bantan Mohammed Elgarhy |
| author_sort | Muhammad Naseer Khan |
| collection | DOAJ |
| description | The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed. Moreover, the classification of the semilattice-graded WHA structures of the path coalgebra obtained from the so called DWHQ was presented. This contributes a step further in the development of the module and comodule structures of more general algebras. These structures are important in the physics for dynamic systems. |
| format | Article |
| id | doaj-art-584edeb7030f4f84abf2bb9454b31ea2 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-584edeb7030f4f84abf2bb9454b31ea22025-02-03T01:20:11ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5421294Double Weak Hopf Quiver and Its Path CoalgebraMuhammad Naseer Khan0Munir Ahmed1Muhammad Arshad2Waleed Almutiry3Rashad A. R. Bantan4Mohammed Elgarhy5Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of Marine GeologyThe Higher Institute of Commercial SciencesThe main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed. Moreover, the classification of the semilattice-graded WHA structures of the path coalgebra obtained from the so called DWHQ was presented. This contributes a step further in the development of the module and comodule structures of more general algebras. These structures are important in the physics for dynamic systems.http://dx.doi.org/10.1155/2022/5421294 |
| spellingShingle | Muhammad Naseer Khan Munir Ahmed Muhammad Arshad Waleed Almutiry Rashad A. R. Bantan Mohammed Elgarhy Double Weak Hopf Quiver and Its Path Coalgebra Journal of Function Spaces |
| title | Double Weak Hopf Quiver and Its Path Coalgebra |
| title_full | Double Weak Hopf Quiver and Its Path Coalgebra |
| title_fullStr | Double Weak Hopf Quiver and Its Path Coalgebra |
| title_full_unstemmed | Double Weak Hopf Quiver and Its Path Coalgebra |
| title_short | Double Weak Hopf Quiver and Its Path Coalgebra |
| title_sort | double weak hopf quiver and its path coalgebra |
| url | http://dx.doi.org/10.1155/2022/5421294 |
| work_keys_str_mv | AT muhammadnaseerkhan doubleweakhopfquiveranditspathcoalgebra AT munirahmed doubleweakhopfquiveranditspathcoalgebra AT muhammadarshad doubleweakhopfquiveranditspathcoalgebra AT waleedalmutiry doubleweakhopfquiveranditspathcoalgebra AT rashadarbantan doubleweakhopfquiveranditspathcoalgebra AT mohammedelgarhy doubleweakhopfquiveranditspathcoalgebra |