A study on dimensions of modules

‎In this article we study relations between some algebraic‎ ‎operations such as tensor product and localization from one hand‎ ‎and some well-known dimensions such as uniform dimension‎, ‎hollow‎ ‎dimension and type dimension from the other hand‎. ‎Some minor‎ ‎applications to the ring $C(X)$ are observed.