Abstract
Lingcong and Endam introduced the idea of the direct product of a finite family of B-algebras. In this paper, we introduce the concept of the direct product of an infinite family of JU-algebras, which we call the external direct product. This is a general concept of the direct product in the sense of Lingcong and Endam. The result is based on different types of subsets of JU-algebras. These include JU-subalgebras, JU-ideals, p-ideals, t-ideals, strong JU-ideals, JU-filters, comparative JU-filters, and implicative JU-filters. Also, we introduce the concept of the weak direct product of JU-algebras. Finally, we provide several fundamental theorems of (anti-)JU-homomorphisms in view of the external direct product JU-algebras.
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