… “This book gives a modern introduction to commutative algebra for students who had a first
course in abstract algebra and who are familiar with the most basic notions of topology. … …

… This is a text for a basic course in commutative algebra, written in accordance with the
following objectives. The course should be accessible to those who have studied algebra at …

… Commutative algebra is essentially the study of commutative rings. Roughly speaking, it has
developed from two sources: (1) algebraic geometry and (2) algebraic … of algebraic number …

… Algebra and Geometry. In fact, it transcends the limited scope of pure Algebra, in particular
Commutative Algebra, … of Commutative Algebra is the study of rings and modules in this case. …

… the single algebraic structure of commutative rings deserves a full one-semester course for
… both algebraic geometry and (algebraic) number theory. Especially the connection between …

… tative algebra for use in algebraic geometry. Teaching a course in geometry and a course
in commutative algebra in parallel seems to be a good way to introduce students to algebraic …

… It has been estimated that, at the present stage of our knowledge, one could give a 200
semester course on commutative algebra and algebraic geometry without ever repeating himself. …

… frontier of algebraic geometry proper, a frontier which is ever moving and difficult to trace.
For, if commutative algebra is an essential tool for the development of algebraic geometry in all …

… In this book I have tried to write on commutative algebra in a way that makes the heritage
of the subject apparent. I have allowed myself many words and pictures with the vague and …

This volume contains the proceedings of the Workshop in Commutative Algebra, held at
Salvador (Brazil) on August 8-17, 1988. A few invited papers were included which were not …