Pure and Applied Mathematics Journal

Volume 12, Issue 5, October 2023

  • Separation Axioms in Soft Bitopological Ordered Spaces

    Salama Hussien Ali Shalil, Sobhy Ahmed Ali El-Sheikh, Shehab El Dean Ali Kandil

    Issue: Volume 12, Issue 5, October 2023
    Pages: 79-85
    Received: 10 June 2023
    Accepted: 28 June 2023
    Published: 27 September 2023
    Abstract: This paper presents a comprehensive study on bi-ordered soft separation axioms applied to soft bitopological ordered spaces. The main focus of this research is to examine the properties, descriptions, and characteristics of these axioms. By exploring the relationships between these axioms and other properties of soft bitopological ordered spaces, t... Show More
  • Research Article

    Classification, α-Inner Derivations and α-Centroids of Finite-Dimensional Complex Hom-Trialgebras

    Bouzid Mosbahi*, Ahmed Zahari, Imed Basdouri

    Issue: Volume 12, Issue 5, October 2023
    Pages: 86-97
    Received: 6 November 2023
    Accepted: 5 December 2023
    Published: 25 December 2023
    Abstract: This article focuses on the classification, α-inner-derivations and α-centroids of complex Hom-trialgebras up to dimension three. The initial research on these algebras was conducted by Loday and Ronco, and this paper builds upon their work by utilizing computer algebra software (Mathematica) to analyze the equations that define the structure const... Show More