Sheffer Stroke Hilbert Algebras in Connection with Crossing Cubic Structures

Authors

  • Anas Al-Masarwah Department of Mathematics, Ajloun National University
  • Noor Bani Abd Al-Rahman Department of Mathematics, Faculty of Science, Ajloun National University, P. O. Box 43, Ajloun 26810, Jordan
  • Mohammed Alqahtani Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia
  • Majdoleen Abuqamar Department of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 21110, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6199

Keywords:

Sheffer stroke Hilbert algebras, filters, deductive systems, crossing cubic filters, crossing cubic deductive systems

Abstract

The idea of Sheffer stroke Hilbert algebra is studied from the perspective of the structure of the cubic structure. The filter and deductive system of the Sheffer stroke Hilbert algebra are defined and examined through the crossing cubic structure, which is an extension of the fuzziness of these substructures, verifying their many characteristics. Moreover, conditions suitable for the crossing cubic structure are established to be a crossing cubic filter and several characterization theorems are reached. Accordingly, the relationship between crossing cubic filters and filters of Sheffer stroke Hilbert algebras is explained such that the crossing cubic deductive system can handle all of the results for the crossing cubic filter covered above in the same way.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Algebra

License

Copyright (c) 2025 Anas Al-Masarwah, Noor Bani Abd Al-Rahman, Mohammed Alqahtani, Majdoleen Abuqamar

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How to Cite

Sheffer Stroke Hilbert Algebras in Connection with Crossing Cubic Structures. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6199. https://doi.org/10.29020/nybg.ejpam.v18i3.6199