Commutative Algebra

Description

This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods. A unique textbook in commutative algebra, written by an expert Consists of two parts, to serve both introductory and advanced courses Of particular interest to students and lecturers in algebra and algebraic geometry Thanks Foreword Contents Part I 1. Basic introductory theory 2. Main tools 3. Overview of module theory 4. Derivations, differentials and Jacobian ideals Part II 5. Basic advanced theory 6. Homological methods 7. Graded structures Bibliography Index