Essential ideals and essential fuzzy ideals in semigroups

Samruam Baupradist1 Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok10330, Thailand E-mail: [email protected]

Burhan Chemat2 Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok10330, Thailand E-mail: [email protected]

Kaliyaperumal Palanivel3 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore632014, Tamil Nadu, India E-mail: [email protected]

Ronnason Chinram4 Algebra and Application Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai District, Songkhla90110, Thailand;5 Centre of Excellence in Mathematics, Si Ayuthaya Road, Bangkok10400, ThailandCorrespondence[email protected]

https://orcid.org/0000-0002-6113-3689

Abstract

In this paper, we define essential ideals and 0-essential ideals of semigroups and investigate some properties of them. Moreover, we define essential fuzzy ideals and 0-essential fuzzy ideals of semigroups. We give relationships between essential ideals and essential fuzzy ideals and relationships between 0-essential ideals and 0-essential fuzzy ideals.

Subject Classification: (2010):

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Essential ideals and essential fuzzy ideals in semigroups

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