Double Weak Hopf Quiver and Its Path Coalgebra

Author:

Khan Muhammad Naseer1,Ahmed Munir1,Arshad Muhammad1,Almutiry Waleed2ORCID,Bantan Rashad A. R.3,Elgarhy Mohammed4ORCID

Affiliation:

1. Department of Mathematics and Statistics, FBAS, International Islamic University, Islamabad 44000, Pakistan

2. Department of Mathematics, College of Science and Arts in Ar Rass, Qassim University, Qassim, Saudi Arabia

3. Department of Marine Geology, Faculty of Marine Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia

4. The Higher Institute of Commercial Sciences, Al Mahalla Al Kubra, Algarbia, 31951, Egypt

Abstract

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.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

Analysis

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Retracted: Double Weak Hopf Quiver and Its Path Coalgebra;Journal of Function Spaces;2023-09-14

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