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Topological Bicomplex Modules

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Abstract

In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued Minkowski functionals in bicomplex modules. We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively.

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Authors and Affiliations

  1. Department of Mathematics, University of Jammu, Jammu, J&K, 180 006, India

    Romesh Kumar & Heera Saini

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  1. Romesh Kumar
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  2. Heera Saini
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Correspondence to Romesh Kumar.

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Kumar, R., Saini, H. Topological Bicomplex Modules. Adv. Appl. Clifford Algebras 26, 1249–1270 (2016). https://doi.org/10.1007/s00006-016-0646-1

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