This analysis presents external and weak direct products of BG-algebras, highlighting BGH and ABGH theorems.
The external direct product (EDP) of BG-algebras, a generalisation of the direct product (DP) in the sense of Widianto, Gemawati, and Kartini [10], is a term we present in this study. In addition, we present the idea of the weak direct product (WDP) of BG-algebras. Finally, in light of the EDP of BG-algebras, we investigate BG-homomorphism (BGH) and anti-BG-homomorphism (ABGH) theorems.
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Chanmanee et al. (2025) studied this question.
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