A Generalization of m-Bi-Ideals in b-Semirings and Its Characterizing Extension

Suguna, M.; Saranya, K.; Iampan, Aiyared

doi:10.28924/2291-8639-22-2024-89

Research Article

A Generalization of m-Bi-Ideals in b-Semirings and Its Characterizing Extension

M. Suguna
K. Saranya
Aiyared Iampan*

* Corresponding author

Abstract

In this study, we introduce new types of m-quasi-ideals and m-bi-ideals in b-semirings and provide some characterizations of these ideals. We use an algebraic method to express the fundamental properties of m-bi-ideals in b-semirings. We also discuss the m-ideals in terms of their algebraic structures. Moreover, we examine the m-bi-ideals and their generators and provide some characterizations regarding bi-ideals. We further discuss the m-bi-ideal generated by a non-empty subset S, which is denoted by <S>_m= S∪Σ_finiteBS^mB, where B is the set of all bi-ideals.

How to Cite

M. Suguna, K. Saranya, A. Iampan, A Generalization of m-Bi-Ideals in b-Semirings and Its Characterizing Extension, Int. J. Anal. Appl. 22 (2024), 89. https://doi.org/10.28924/2291-8639-22-2024-89

BibTeX

@article{Suguna2024,
  author  = {Suguna, M. and Saranya, K. and Iampan, Aiyared},
  title   = {A Generalization of m-Bi-Ideals in b-Semirings and Its Characterizing Extension},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {89},
  doi     = {10.28924/2291-8639-22-2024-89}
}

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