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On Topological Bihyperbolic Modules


Affiliations
1 28, Dolua Dakshinpara Haridas Primary School Beldanga, Murshidabad Pin-742133, West Bengal, India
2 Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H. Asansol-713340, West Bengal, India
3 Department of Mathematics University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal
     

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In this paper, we introduce topological modules over the ring of bihyperbolic numbers. We discuss bihyperbolic convexity, bihyperbolic-valued seminorms and bihyperbolic-valued Minkowski functionals in topological bihyperbolic modules. Finally we introduce locally bihyperbolic convex modules.

Keywords

Bihyperbolic Modules, Topological Bihyperbolic Modules, Bihyperbolic Convexity, Bihyperbolic-Valued Seminorms, Bihyperbolic-Valued Minkowski Functionals, Locally Bihyperbolic Convex Modules.
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  • On Topological Bihyperbolic Modules

Abstract Views: 291  |  PDF Views: 3

Authors

Soumen Mondal
28, Dolua Dakshinpara Haridas Primary School Beldanga, Murshidabad Pin-742133, West Bengal, India
Chinmay Ghosh
Department of Mathematics, Kazi Nazrul University, Nazrul Road, P.O.- Kalla C.H. Asansol-713340, West Bengal, India
Sanjib Kumar Datta
Department of Mathematics University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal

Abstract


In this paper, we introduce topological modules over the ring of bihyperbolic numbers. We discuss bihyperbolic convexity, bihyperbolic-valued seminorms and bihyperbolic-valued Minkowski functionals in topological bihyperbolic modules. Finally we introduce locally bihyperbolic convex modules.

Keywords


Bihyperbolic Modules, Topological Bihyperbolic Modules, Bihyperbolic Convexity, Bihyperbolic-Valued Seminorms, Bihyperbolic-Valued Minkowski Functionals, Locally Bihyperbolic Convex Modules.

References





DOI: https://doi.org/10.18311/jims%2F2023%2F34192