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ON FUZZY BI-IDEALS AND FUZZY QUASI IDEALS IN Γ-SEMIGROUPS


SUJIT KUMAR SARDAR 1, SAMIT KUMAR MAJUMDER 2 SOUMITRA KAYAL 3
1, 2. Department of Mathematics, Jadavpur University, Kolkata-700032, INDIA
3. Tarangapur N.K High School, Tarangapur, Uttar Dinajpur, West Bengal-733129, INDIA
1. e-mail: sksardarjumath@gmail.com
2. e-mail: samitfuzzy@gmail.com
3. e-mail: soumitrakayal.ju@gmail.com

Issue:

SSRSMI, Number 2, Volume XXI

Section:

Volume 21, Number 2

Abstract:

The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in Γ -semigroups and to introduce the notion of fuzzy quasi ideals in Γ -semigroups. Here, we also characterize regular and intra-regular Γ -semigroup in terms of fuzzy quasi ideals and fuzzy bi-ideals.

Keywords:

Γ -semigroup, Fuzzy ideal, Fuzzy bi-ideal, Fuzzy quasi ideal, Fuzzy duo, Intra-regular Γ -semigroup, Left & right regular Γ -semigroup, Regular Γ -semigroup, Left & right simple Γ -semigroup.

Code [ID]:

SSRSMI201102V21S01A0011 [0003467]

Full paper:

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