On Pseudo $BN$-algebras

Authors

  • Irene Mae Antabo Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines
  • Lyster Rey Cabardo Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines
  • Susan Dagondon Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines
  • Jocelyn Vilela Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6052

Keywords:

$BN$-algebra, $BF$-algebra, pseudo $BN$-algebra, pseudo $BF$-algebra

Abstract

In this paper, we introduce the notion of pseudo $BN$-algebras and investigate some of its basic properties. Moreover, its relationship with the already established pseudo $BF$-algebra is investigated. Furthermore, subalgebras, ideals  and pseudo-normality of pseudo $BN$-algebras are studied. Illustrations are provided for new concepts. Finally, we establish the equivalency of pseudo-normal subalgebras and pseudo-normal ideals.

Author Biographies

  • Lyster Rey Cabardo, Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines

     Center for Mathematical and Theoretical Physical Sciences, PRISM, MSU-Iligan Institute
    of Technology, Philippines

  • Susan Dagondon, Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines

    Center for Mathematical and Theoretical Physical Sciences, PRISM, MSU-Iligan Institute
    of Technology, Philippines

  • Jocelyn Vilela, Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Philippines

    Center for Mathematical and Theoretical Physical Sciences, PRISM, MSU-Iligan Institute
    of Technology , Philippines

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Published

2025-05-02

Issue

Vol. 18 No. 2: (April 2025)

Section

Algebra

License

Copyright (c) 2025 Irene Mae Antabo, Lyster Rey Cabardo, Susan Dagondon, Jocelyn Vilela

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How to Cite

On Pseudo $BN$-algebras. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6052. https://doi.org/10.29020/nybg.ejpam.v18i2.6052