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arXiv · 2509.01466

Proximal and Descriptive Topological Rings: Structure and Properties

Maram Almahariq
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Abstract

The set of open subsets in a proximity space (X,{\zeta}) forms a topological system that enables the definition of proximal and descriptive topological groups. This framework naturally extends to proximal and descriptive topological rings as well. In this study, I review fundamental properties and related results, with particular emphasis on the definition of proximal and descriptive fields. In addition, I examine the behavior of closed sets in proximal and descriptive topological rings.

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Maram Almahariq. 2025-09-01. Proximal and Descriptive Topological Rings: Structure and Properties. https://arxiv.org/abs/2509.01466

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