Application of ₦- Hyper Set on β−Algebra

P. Muralikrishna, P. Hemavathi () and Arsham Borumand Saeid ()
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P. Muralikrishna: PG and Research Department of Mathematics, Muthurangam Government Arts College (Autonomous), Vellore, Tamil Nadu 632002, India
P. Hemavathi: Department of Mathematics, Saveetha School of Engineering, SIMATS, Thandalam, Tamil Nadu 602105, India
Arsham Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 03, 687-696

Abstract: The concept of ₦-structures was initiated by Jun et al. in 2009. Later, Young Bae Jun extended this concept as ₦-hyper sets and dealt its associated outcomes. In particular, four types of ₦-substructures with relevant properties have been investigated which leads to the introduction of the notion of ₦-hyper β−subalgebra in this study. Further, it was proved that the intersection of two ₦-hyper β−subalgebras is again an ₦-hyper β−subalgebra. In addition to that, the properties based on the homomorphism and Cartesian product were discussed.

Keywords: β−algebra; ₦-structure; ₦-hyper set (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500291

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