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Application of ₦- Hyper Set on β−Algebra

Author

Listed:
  • 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)

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.

Suggested Citation

  • P. Muralikrishna & P. Hemavathi & Arsham Borumand Saeid, 2023. "Application of ₦- Hyper Set on β−Algebra," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 687-696, November.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:03:n:s1793005723500291
    DOI: 10.1142/S1793005723500291
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