Novel Investigations of m-Bi-Ideals and Generators in b-Semirings with Extended Operator Frameworks

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DOI: https://doi.org/10.28924/2291-8639-22-2024-179
Published: Oct 3, 2024
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M. Suguna, K. Saranya, Salahuddin, Novel Investigations of m-Bi-Ideals and Generators in b-Semirings with Extended Operator Frameworks, Int. J. Anal. Appl., 22 (2024), 179.

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M. Suguna, K. Saranya, Salahuddin

Abstract

In this study, we introduce novel types of m-quasi-ideals and m-bi-ideals in the context of b-semirings, expanding the scope of algebraic structures in this field. We provide detailed characterizations of these ideals, focusing on their distinct properties and interactions within b-semirings. Utilizing an algebraic approach, we elucidate the fundamental properties of m-bi-ideals, examining their behavior and structural role. Additionally, we explore the generators of m-bi-ideals and offer characterizations based on their relationship with bi-ideals. Our findings contribute to a deeper understanding of m-ideals and m-bi-ideals, opening new avenues for further research in algebraic theory and the study of semirings.

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