Steps in commutative algebraR.Y. Sharp.
- second edition.
- Cambridge, UK ; New York : Cambridge University Press, (c)2000.
- 1 online resource (xii, 355 pages)
- London Mathematical Society student texts ; 51 .
Includes bibliographies and index.
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.