On a topology in partially ordered linear spaces

The article introduces the concept of an interior point of a cone of a partially ordered space, which makes it possible to determine the topology in it. This topology turns a given linear space into a topological linear space, which is the main achievement of the article.

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Publication Details

Journal
Uzbek Mathematical Journal
Published
2024-11-26
DOI
https://doi.org/10.29229/uzmj.2024-3-17
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

On a topology in partially ordered linear spaces

A. A. Zaitov, FERUZ S. AKTAMOV
Uzbek Mathematical Journal
Fuzzy and Soft Set Theory
article

On a topology in partially ordered linear spaces

A. A. Zaitov, FERUZ S. AKTAMOV
article en

Abstract

The article introduces the concept of an interior point of a cone of a partially ordered space, which makes it possible to determine the topology in it. This topology turns a given linear space into a topological linear space, which is the main achievement of the article.

Uzbek Mathematical JournalVol. 68(3)
Sustainable cities and communities
Openalex Percentile: Top 74%
Fuzzy and Soft Set Theory
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On a topology in partially ordered linear spaces — A. A. Zaitov, FERUZ S. AKTAMOV · Uzbek Mathematical Journal (2024) | TGRS Research Map | TGRS