Cartesian Product and Direct Product of Finite Prime Fuzzy Bd-Ideals of Bd-Algebras
Authors
Esraa Kareem Kadhim
Department of Mathematic, Faculty of Basic Education, University of Kufa, Najaf, Iraq (IQ)
Huda Qusay Hashim
Department of Mathematic, Faculty of Management Technical, University of AL-Furat AL-Awsat Technical, Kufa, Iraq (IQ)
Hanan Hayder Mohammed
Department of Mathematic, Faculty of Basic Education, University of Kufa, Najaf, Iraq (IQ)
Article Information
DOI: 10.51583/IJLTEMAS.2026.150300129
Subject Category: Cartesian Product
Volume/Issue: 15/3 | Page No: 1476-1480
Publication Timeline
Submitted: 2026-04-25
Published: 2026-04-25
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.
Keywords
Bd-algebra, Cartesian Product prime fuzzy Bd-ideal, Cartesian Product semiprime fuzzy Bd-ideal, Direct Product of Finite Prime.
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References
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