Hybrid Structures Applied to Ideals in BCI-Algebras

G. Muhiuddin, D. Al-Kadi, A. Mahboob and Ali Jaballah

Journal of Mathematics, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2365078

DOI: 10.1155/2020/2365078

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