Pseudo-Dual B-Algebra

Authors

  • Jessa Mae Leuveras Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines
  • Katrina Fuentes Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6190

Keywords:

dual B-algebra, pseudo-dual B-algebra, pseudo-dual B-subalgebra, pseudo-dual B-filter

Abstract

This paper introduces the structure of a pseudo-dual B-algebra and some of its subsets, specifically pseudo-dual B-subalgebra and pseudo-dual B-filter. Furthermore, it presents some of their properties and gives a characterization of a pseudo-dual B-subalgebra. This study also provides the relationship between a pseudo-dual B-subalgebra and a pseudo-dual B-filter. Moreover, this paper presents a Python program that was used to perform the calculations needed to verify the example of a pseudo-dual B-algebra and to verify the independence of the axioms in a pseudo-dual B-algebra.

Author Biography

  • Katrina Fuentes, Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines

    PhD in Mathematics, Department of Computer, Information Sciences and Mathematics, School of Arts and
     Sciences, University of San Carlos, 6000 Cebu City, Philippines

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Published

2025-11-05

Issue

Section

Algebra

How to Cite

Pseudo-Dual B-Algebra. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6190. https://doi.org/10.29020/nybg.ejpam.v18i4.6190