On Topological Bihyperbolic Modules

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Authors

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

DOI:

https://doi.org/10.18311/jims/2023/34192

Keywords:

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

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.

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Published

2023-07-12

How to Cite

Mondal, S., Ghosh, C., & Datta, S. K. (2023). On Topological Bihyperbolic Modules. The Journal of the Indian Mathematical Society, 90(3-4), 233–248. https://doi.org/10.18311/jims/2023/34192

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 Soumen Mondal, Chinmay Ghosh, Sanjib Kumar Datta

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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