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arXiv · 1507.05816

Topological Bicomplex Modules

Romesh Kumar·Heera Saini
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Abstract

In this paper, we develop topological modules over the ring of bicomplex numbers. We discuss bicomplex convexivity, 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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Romesh Kumar, Heera Saini. 2015-07-21. Topological Bicomplex Modules. https://arxiv.org/abs/1507.05816

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