Suarez, Anna LauraBezhanishvili, G.Raviprakash R.2026-04-082026-04-082026Bezhanishvili, G., Raviprakash, R., Suarez, A.L. and Walters-Wayland, J., 2026. McKinsey-Tarski Algebras and Raney Extensions: G. Bezhanishvili et al. Applied Categorical Structures, 34(2), p.14.https://doi.org/10.1007/s10485-026-09849-zhttps://hdl.handle.net/10566/22190We introduce the notion of Raney morphism between MT-algebras and show that the resulting category is equivalent to the category of Raney extensions. This is done by generalizing the construction of the Funayama envelope of a frame. The resulting notion of the T0-hull of a Raney extension generalizes that of the TD-hull of a frame.enInterior algebraRaney latticeT0-separationTD-separationArticle