Characterisation of Semirings and Its by Types Using Ideals

We have introduced characterized semiring in this study. We have discussed the properties of ideals in semiring and characterization of semirings using ideals and some applications. We have also talked of bi-ideal and quasi-ideal in semiring and its significant classes. We have characterized three significant classes namely regular semiring, intra-regular semiring and weakly regular semiring using quasi ideals and bi-ideals.

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Publication Details

Journal
Journal of Informatics and Mathematical Sciences
Published
2024-12-31
DOI
https://doi.org/10.26713/jims.v16i1.3093
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Characterisation of Semirings and Its by Types Using Ideals

Muddsar Yaseen Malik, D. Sivakumar
Journal of Informatics and Mathematical Sciences
Fuzzy and Soft Set Theory
article

Characterisation of Semirings and Its by Types Using Ideals

Muddsar Yaseen Malik, D. Sivakumar
article en

Abstract

We have introduced characterized semiring in this study. We have discussed the properties of ideals in semiring and characterization of semirings using ideals and some applications. We have also talked of bi-ideal and quasi-ideal in semiring and its significant classes. We have characterized three significant classes namely regular semiring, intra-regular semiring and weakly regular semiring using quasi ideals and bi-ideals.

Journal of Informatics and Mathematical SciencesVol. 16(1)
Annamalai University (IN)
Openalex Percentile: Top 65%
Fuzzy and Soft Set Theory
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Characterisation of Semirings and Its by Types Using Ideals — Muddsar Yaseen Malik, D. Sivakumar · Journal of Informatics and Mathematical Sciences (2024) | TGRS Research Map | TGRS