The book "Homological Dimensions and Cohen-Macaulay Rings" by Parviz Sahandi offers a comprehensive examination of homological dimensions in algebraic geometry and homological algebra. It highlights the characterization of regular local rings and their significance for research in homological algebra. The work is divided into two main parts. The first part focuses on the homological dimension of modules that are not necessarily finitely generated and introduces a dual consideration of the well-known Auslander-Bridger formula. The second part addresses semistar-multiplicative ideal theory and investigates the properties of -GD-domains as well as their application to the going-down property of integral domain extensions. This book is aimed at professionals and students who are engaged with the deep aspects of homological algebra and its applications in ring theory.