**Commutative Algebra 2nd ed. - H. Matsumura**

**Commutative Algebra 2nd ed. - H. Matsumura**

Commutative Algebra

This book, based on the author's lectures at Brandeis University in 1967 and

1968, is designed for use as a textbook on commutative algebra by students of

modern algebraic geometry or abstract algebra.

Part I is devoted to basic concepts such as dimension, depth, normal rings, and

regular local rings; Part II deals with the finer structure theory of noetherian

rings initiated by Zariski and developed by Nagata and Grothendieck.

In this second edition, the chapter on Depth has been completely rewritten.

This book, based on the author's lectures at Brandeis University in 1967 and

1968, is designed for use as a textbook on commutative algebra by students of

modern algebraic geometry or abstract algebra.

Part I is devoted to basic concepts such as dimension, depth, normal rings, and

regular local rings; Part II deals with the finer structure theory of noetherian

rings initiated by Zariski and developed by Nagata and Grothendieck.

In this second edition, the chapter on Depth has been completely rewritten.

There is also a new Appendix consisting of several sections, which are almost

independent of each other. The Appendix has two purposes: to prove the

theorems used but not proved in the text; to record same of the recent

achievements in the areas connected with Part II.

For specialists in commutative algebra, this book will serve as an introduction

to the more difficult and detailed books of Nagata and Grothendieck.

To geometers, it will be a convenient handbook of algebra.

Review of the First Edition:

"This is an excellent book which :ontains a wealth of material... Part I, for

which the prerequisites are rain imal, develops the main concepts, central'to

modern commutative algebra... Part II, is considerably more advanced../'

- American Mathematical Monthly

independent of each other. The Appendix has two purposes: to prove the

theorems used but not proved in the text; to record same of the recent

achievements in the areas connected with Part II.

For specialists in commutative algebra, this book will serve as an introduction

to the more difficult and detailed books of Nagata and Grothendieck.

To geometers, it will be a convenient handbook of algebra.

Review of the First Edition:

"This is an excellent book which :ontains a wealth of material... Part I, for

which the prerequisites are rain imal, develops the main concepts, central'to

modern commutative algebra... Part II, is considerably more advanced../'

- American Mathematical Monthly

__Hideyuki Matsumura,__

__Professor of Mathematics at Nagoya University, received his graduate training__

__at Kyoto University and was awarded his Ph.D. in 1959. Formerly Associate__

__Professor of Mathematics at this university, Professor Matsum,u. ra was_a<. .__

__research associate at the UniverSity of Pisa during 1962 and 1963. He was also__

__Visiting Associate Professor at the University of Chicago (1962), at Johns__

__Hopkins University (1963), at Columbia University (1966-1967), and at__

__Brandeis University (1967-1968).__

__The author spent 1973 and 1974 as Visiting Professor at the University of__

__Pennsylvania, 1974 and 1975 as Visiting Professor at the Politecnic of Torino,__

__and 1977 as Visiting Professor at the University of MOnster.__