External direct products on dual UP (BCC)-algebras

The concept of the direct product finite family \(\textit{B}\)-algebras is introduced by Lingcong and Endam [J. A. V. Lingcong, J. C. Endam, Int. Algebra, \(\textbf{10}\) (2016), 33--40]. In this paper, we introduce infinite BCC-algebras prove that it a dual (dBCC-algebras), call external dBCC-algebra induced BCC-algebras, which general in sense Endam. We find result special subsets BCC-algebras. Also, weak dBCC-algebras. Finally, provide several fundamental theorems (anti-)BCC-homomorphisms view