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In this survey,we first present a brief overview of logical algebras.We then discuss concepts of single-valued neutrosophic K-subalgebras,single-valued neutrosophic soft K-algebras and single-valued neutrosophic topological K-algebras.Moreover,we discuss various fundamental concepts which include interior,closure,C5-connectivity,super connectivity,compactness and Hausdorffness of single-valued neutrosophic topological K-algebras.