A Quasi-Uniformity on BCC-algebras
Saeed Mehrshad, Nader Kouhestani · Annals of the University of Craiova Mathematics and Computer Science Series · 2017
We introduce a quasi uniformity U on a BCC-algebra X by a family of ideals of X. If T(U) is the topology induced by U, we study some conditions under which (X,T(U)) becomes a (semi) topological BCC-algebra. Also, we show that bicompletion of the quasi uniformity U can be considered a T(U*)-topological BCC-algebra which contains X as a sub-dense space.