UNIFORM FILTERS AND SEMI-COMPATIBILITY

In 5] García Román, M., Márquez Hernández, M. and Verschoren, A. 1997. Structure Sheaves and Noncommutative Topologies. J. of Algebra, 194: 224–244. Crossref], Web of Science ®] , Google Scholar] we used functors which are compositions of localization functors to construct sheaves over an arbitrary ring R. These functors share some properties with localization, and questions like when is the composition of localizations a localization functor? arise naturally. In this note we answer this question and some related ones using the key concept of semi-compatibility.