Extension of Primary and Semiprimary Bi-Ideals of Semirings

The 1PBID, 2PBID, and 3PBID of semirings are introduced. Additionally, we communicate with a number of the various SPBIs’ attributes. 2PBID and 3PBID are generalizations of 1PBID and 2PBID, respectively, which we explain. We go over the m1, m2 and m3-systems and BI generator. It is possible to generalize the m1-system to the m2-system and the m2-system to the m3-system.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-01-10
DOI
https://doi.org/10.52783/cana.v32.3815
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Extension of Primary and Semiprimary Bi-Ideals of Semirings

G. Shanmugam
Communications on Applied Nonlinear Analysis
Fuzzy and Soft Set Theory
article

Extension of Primary and Semiprimary Bi-Ideals of Semirings

G. Shanmugam
article en

Abstract

The 1PBID, 2PBID, and 3PBID of semirings are introduced. Additionally, we communicate with a number of the various SPBIs’ attributes. 2PBID and 3PBID are generalizations of 1PBID and 2PBID, respectively, which we explain. We go over the m1, m2 and m3-systems and BI generator. It is possible to generalize the m1-system to the m2-system and the m2-system to the m3-system.

Communications on Applied Nonlinear AnalysisVol. 32(3)
University of Phayao, Thailand Science Research and Innovation
Openalex Percentile: Top 97%
Fuzzy and Soft Set Theory
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Extension of Primary and Semiprimary Bi-Ideals of Semirings — G. Shanmugam · Communications on Applied Nonlinear Analysis (2025) | TGRS Research Map | TGRS