Almost bi-quasi-ideals and their fuzzifications in semigroups

Thiti Gaketem, Ronnason Chinram

Abstract


The notion of bi-quasi-ideals of semigroups was introduced by Krishna Rao in 2017, which is a generalization of left ideals, right ideals, bi-ideals, and quasi-ideals of semigroups. In this paper, we introduce the concept of almost bi-quasi ideals as a generalization of bi-quasi ideals of semigroups.  We investigate the properties of almost bi-quasi-ideals and fuzzy almost bi-quasi-ideals in semigroups. Moreover, we show some relationships between almost bi-quasi-ideals and fuzzy almost bi-quasi-ideals.

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References


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DOI: https://doi.org/10.52846/ami.v50i2.1708