On Topological Bihyperbolic Modules
Soumen Mondal, Chinmay Ghosh, Sanjib Kumar Datta
TL;DR
This paper introduces the concept of topological modules over bihyperbolic numbers, exploring their convexity, seminorms, Minkowski functionals, and locally convex structures to advance the mathematical framework of bihyperbolic modules.
Contribution
It develops the theory of topological bihyperbolic modules, including convexity, seminorms, Minkowski functionals, and locally convex structures, which are new in this mathematical area.
Findings
Defined bihyperbolic convexity and seminorms
Established properties of bihyperbolic-valued Minkowski functionals
Introduced 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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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Mathematical Analysis and Transform Methods