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Cartesian Product and Direct Product of Finite Prime Fuzzy Bd-Ideals of Bd-Algebras

Author

Listed:
  • Esraa Kareem Kadhim

    (Department of Mathematic, Faculty of Basic Education, University of Kufa, Najaf, Iraq)

  • Huda Qusay Hashim

    (Department of Mathematic, Faculty of Management Technical, University of AL-Furat AL-Awsat Technical, Kufa, Iraq)

  • Hanan Hayder Mohammed

    (Department of Mathematic, Faculty of Basic Education, University of Kufa, Najaf, Iraq)

Abstract

Fuzzy Bd-ideals provide a useful framework for studying Bd-algebras. This paper focuses on the Cartesian and direct products of finite prime fuzzy Bd-ideals. We extend the idea of primeness to these constructions and analyze how it behaves under product operations. Key properties of the Cartesian product are obtained, including conditions that keep primeness intact. We also study the direct product case and identify when the prime structure is preserved. These findings give a clearer view of how fuzzy ideals interact within product structures in Bd-algebras.

Suggested Citation

  • Esraa Kareem Kadhim & Huda Qusay Hashim & Hanan Hayder Mohammed, 2026. "Cartesian Product and Direct Product of Finite Prime Fuzzy Bd-Ideals of Bd-Algebras," International Journal of Latest Technology in Engineering, Management & Applied Science, International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS), vol. 15(3), pages 1476-1480, March.
    • Handle: RePEc:bjb:journl:v:15:y:2026:i:3:p:1476-1480
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