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Research Article | Open Access

A topological approach for rough semigroups

Mardin Artuklu University, Vocational Higher Schools of Mardin, Mardin, Turkey
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Abstract

This study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal. Also, some basic results and examples are presented. Furthermore, some compactness properties are also studied. In addition, their rough subsemigroups and rough ideals are analysed.

Keywords

rough setsrough semigrouprough idealtopological semigrouptopological rough semigroup
CLC number: 03E99, 22A99

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 29633-29644
DOI: 10.3934/math.20241435

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Bağırmaz N. A topological approach for rough semigroups. AIMS Mathematics, 2024, 9(10): 29633-29644. https://doi.org/10.3934/math.20241435

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Received: 19 August 2024
Revised: 19 September 2024
Accepted: 09 October 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)