The Algebraic Theory of Modular Systems

Originally published over 75 years ago, the wealth of thinking expounded here by Macaulay will still be a source of inspiration to all workers in commutative algebra.

F. S. Macaulay (Author), Paul L. Roberts (Introduction by)

9780521455626, Cambridge University Press

Paperback, published 14 April 1994

146 pages
22.8 x 15.1 x 0.9 cm, 0.22 kg

"...a landmark in the development of commutative algebra as a separate field..." P. Schenzel, Mathematical Reviews

Many of the ideas introduced by Macaulay in this book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term 'Cohen–Macaulay ring', however, it is less well known that he pioneered several other fundamental ideas, including the concept of the Gorenstein ring and the use of injective modules, ideas which were not systematically developed until considerably later in this century. An introduction by Professor Paul Roberts links past with present. The background to Macaulay's thinking is discussed, and the development of modern theory is outlined. The wealth of ideas expounded here by Macaulay over 75 years ago, will still be a source of inspiration to all workers in commutative algebra.

Introduction
1. The resultant
2. The resolvent
3. General properties of modules
4. The inverse system.

Subject Areas: Algebra [PBF]