Almost bi-quasi-interior ideals and fuzzy almost bi-quasi-interior ideals of semigroups

Volume 26, Issue 2, pp 128--136 http://dx.doi.org/10.22436/jmcs.026.02.03

Publication Date: November 05, 2021 Submission Date: June 21, 2021 Revision Date: August 13, 2021 Accteptance Date: August 26, 2021

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Authors

R. Chinram - Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. W. Nakkhasen - Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham 44150, Thailand.

Abstract

The notion of bi-quasi-interior ideals of semigroups was introduced by Rao in 2018 which is a generalization of left ideals, right ideals, bi-ideals, quasi-ideals, interior ideals, bi-interior ideals and bi-quasi ideals of semigroups. In this paper, we introduce the concept of almost bi-quasi-interior ideals as a generalization of bi-quasi-interior ideals of semigroups and investigate their properties. Moreover, we define the notion of fuzzy almost bi-quasi-interior ideals of semigroups and consider some connection between almost bi-quasi-interior ideals and fuzzy almost bi-quasi-interior ideals of semigroups.

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Keywords

• Bi-quasi-interior ideal
• almost bi-quasi-interior ideal
• fuzzy almost bi-quasi-interior ideal.

MSC

•  03E72
•  20M12

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