A topological approach for rough semigroups

Nurettin Bağırmaz; Nurettin Bağırmaz

doi:10.3934/math.20241435

AIMS Mathematics

2024, Volume 9, Issue 10: 29633-29644. doi: 10.3934/math.20241435

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A topological approach for rough semigroups

Nurettin Bağırmaz ^,

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

Received: 19 August 2024 Revised: 19 September 2024 Accepted: 09 October 2024 Published: 18 October 2024
MSC : 03E99, 22A99

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.
- rough sets,
- rough semigroup,
- rough ideal,
- topological semigroup,
- topological rough semigroup
Citation: Nurettin Bağırmaz. A topological approach for rough semigroups[J]. AIMS Mathematics, 2024, 9(10): 29633-29644. doi: 10.3934/math.20241435

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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.

References

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