Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures

Authors

  • Tahsin Oner Department of Mathematics, Faculty of Science, Ege University, 35100 8 Izmir, Turkey
  • Neelamegarajan Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur12 613005, Tamil Nadu, India
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Mae 16 Ka, Mueang, Phayao 56000, Thailand https://orcid.org/0000-0002-0475-3320
  • Arsham Borumand Saeid Department of Pure Mathematics, Faculty of Mathematics and Computer, 20 Shadid Bahonar University of Kerman, Kerman, Iran

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6018

Keywords:

Sheffer stroke Hilbert algebra, $\mathcal{N}$-ideal of types $(\in, \in)$ and $(\in, \in \vee \kq)$, $\mathcal{N}$-subalgebra of types $(\in, \in)$ and $(\in, \in \vee \kq)$

Abstract

In this study, we introduce the concepts of $\mathcal{N}$-ideals of types $(\in, \in)$ and $(\in, \in \vee \kq)$, along with soft $\mathcal{N}_\in$-sets, soft $\mathcal{N}_\kq$-sets, and soft $\mathcal{N}_{\in \vee \kq}$-sets. Additionally, we define soft $\mathcal{N}$-subalgebras and $\mathcal{N}$-ideals within the context of Sheffer stroke Hilbert algebras and explore various properties of these structures. The paper also provides characterizations of $\mathcal{N}$-subalgebras of types $(\in, \in)$ and $(\in, \in \vee \kq)$, as well as $\mathcal{N}$-ideals for both of these types. Furthermore, we further examine their corresponding soft versions, extending the algebraic framework in the setting of Sheffer stroke Hilbert algebras.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Algebra

License

Copyright (c) 2025 Tahsin Oner, Neelamegarajan Rajesh, Aiyared Iampan, Arsham Borumand Saeid

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How to Cite

Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6018. https://doi.org/10.29020/nybg.ejpam.v18i2.6018