“In this note, we discuss some more properties of microlocalizations of filtered rings, and moreover, we prove that for an arbitrary Lie algebra \(L\), if \(U(L)\) denotes the enveloping algebra of \(L\) with the standard filtration \(F(U(L))\), then the skewfield \(D\) constructed by P. M. Cohn in 1961 such that \(U(L)\subset D\) is just a certain type of microlocalization of \(U(L)\)”.