Topological Bicomplex Modules

被引：0
|
作者：
Romesh Kumar
Heera Saini
机构：
[1] University of Jammu,Department of Mathematics
来源：
Advances in Applied Clifford Algebras | 2016年 / 26卷
关键词：
Bicomplex modules; Topological bicomplex modules; Bicomplex convexity; Hyperbolic-valued seminorms; Hyperbolic-valued Minkowski functionals; Locally bicomplex convex modules; 30G35; 46A19; 46A03; 52A01;
D O I：
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中图分类号：
学科分类号：
摘要：
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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页码：1249 / 1270
页数：21
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