Geodesic
Topological Up-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 2, pp. 231-250

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In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdorff spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras.
Keywords: topological UP-algebra, quotient topological space, topological UP-homomorphism 
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Satirad, Akarachai; Iampan, Aiyared. Topological Up-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 2, pp. 231-250. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_2_a5/