Over the last 40 years, interest has arisen in the study of modern algebraic systems like: rings, modules over rings. The concept "Dimension" of a vector space, when generalized to modules becomes the concept "Goldie Dimension". This dimension concept was studied by several authors from different continents. This Goldie Dimension Theory is not suitable to develop dimension theory for rings with respect to "two sided ideals" in case of associative rings (but not commutative rings). A suitable concept "Finite Dimension" was introduced and studied in Ring Theory. This Monograph covers a...