Introduction to Commutative Algebra

Introduction to Commutative Algebra is a well-known commutative algebra textbook written by M. F. Atiyah and I. G. Macdonald. It deals with elementary concepts of commutative algebra including localization, primary decomposition, integral dependence, Noetherian and Artinian rings and modules, Dedekind rings, completions and a moderate amount of dimension theory. It is notable for being among the shorter English-language introductory textbooks in the subject, relegating a good deal of less essential material to the exercises.