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Hybrid Structures Applied to Ideals in BCI-Algebras

Author

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  • G. Muhiuddin
  • D. Al-Kadi
  • A. Mahboob
  • Ali Jaballah

Abstract

In this paper, the notion of hybrid structure is applied to the ideal theory in BCI-algebras. In fact, we introduce the notions of hybrid p-ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras and investigate their related properties. Furthermore, we show that every hybrid p-ideal (or h-ideal or a-ideal) is a hybrid ideal in a BCI-algebra but converse need not be true in general and in support, and we exhibit counter examples for each case. Moreover, we consider characterizations of hybrid p-ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras.

Suggested Citation

  • G. Muhiuddin & D. Al-Kadi & A. Mahboob & Ali Jaballah, 2020. "Hybrid Structures Applied to Ideals in BCI-Algebras," Journal of Mathematics, Hindawi, vol. 2020, pages 1-7, November.
    • Handle: RePEc:hin:jjmath:2365078
    DOI: 10.1155/2020/2365078
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    Cited by:

    1. Asmat Hadi & Asghar Khan & Nosheen Faiz & Dost Muhammad Khan & Rashad A. R. Bantan & Mohammed Elgarhy, 2023. "Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making," Mathematics, MDPI, vol. 11(17), pages 1-24, August.

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