Commutative rings and subrings -- Ideals -- Prime ideals and maximal ideals -- Primary decomposition -- Rings of fractions -- Modules -- Chain conditions on modules -- Commutative noetherian rings -- More module theory -- Modules over principal ideal domains -- Canonical forms for square matrices -- Some applications to field theory -- Integral dependence on subrings -- Affine algebras over fields -- Dimension theory -- Regular sequences and grade -- Cohen-macalay rings
Summary
Introductory account of commutative algebra, aimed at students with a background in basic algebra
Bibliography
Includes bibliographical references (pages 345-346) and index
