Hyperstructure Theory Applied to BF-Algebras

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...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-05, Vol.15 (5), p.1106
Main Authors: Muhiuddin, Ghulam, Abughazalah, Nabilah, Mahboob, Ahsan, Alotaibi, Abdullah G.
Format: Article
Language:English
Subjects:
Algebra
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15051106