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On Permutation Distributive BI-Algebras

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Recent Developments in Algebra and Analysis (ICRDM 2022)

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Abstract

The purpose of this work is to introduce permutation BI-algebras as a new class of algebras in order to understand how it interacts to existing classes and how they may be used to form various types of superstructures. Their fundamental characteristics have been studied in this work. We looked at permutation BI-ideal, permutation BI-algebra, and permutation right (left) distributive BI-algebra. For the first time, we looked at some novel ideas in permutation theory. We also looked at the permutation right compatible relation, permutation left compatible relation, and permutation compatible relation in permutation BI-algebra.

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Author information

Authors and Affiliations

  1. Ministry of Education, Directorate General of Education, Baghdad, Al-Kark, Iraq

    Nadia M. Ali Abbas

  2. Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

    Shuker Khalil

  3. Department of Mathematics, Federal University Gashua, Gashua, Yobe State, Nigeria

    Enoch Suleiman

Authors
  1. Nadia M. Ali Abbas
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  2. Shuker Khalil
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  3. Enoch Suleiman
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates

    Ho-Hon Leung

  2. Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    R. Sivaraj

  3. Department of Electrical Engineering, Canadian University Dubai, Dubai, United Arab Emirates

    Firuz Kamalov

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Ali Abbas, N.M., Khalil, S., Suleiman, E. (2024). On Permutation Distributive BI-Algebras. In: Leung, HH., Sivaraj, R., Kamalov, F. (eds) Recent Developments in Algebra and Analysis. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-37538-5_14

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