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Keywords = hyper-BF-algebra

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11 pages, 278 KB  
Article
Hyperstructure Theory Applied to BF-Algebras
by Ghulam Muhiuddin, Nabilah Abughazalah, Ahsan Mahboob and Abdullah G. Alotaibi
Symmetry 2023, 15(5), 1106; https://doi.org/10.3390/sym15051106 - 18 May 2023
Cited by 4 | Viewed by 2335
Abstract
This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built. Here, [...] Read more.
This study applies the hyperstructure theory to BF-algebra, which is an algebraic structure. In fact, we define hyper-BF-algebras and hyper-BF ideals and investigate several of their related characteristics. BF-algebra and hyper-BF ideal characteristics are taken into account, and supported examples are built. Here, we also develop new concepts known as hyper-B-algebra, hyper-BG-algebra, and hyper-BH algebra as generalizations of other classes of hyper-BCK-/BCI-algebras. Additionally, we demonstrate that each hyper-BF is a weak hyper-BF in hyper-BF-algebra, but the opposite is not true. It is further established that the intersection of the weak hyper-BF ideal family is weak. Full article
(This article belongs to the Special Issue Symmetry in Functional Analysis and Its Applications)
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