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The Algebraic Theory of Modular Systems : Cambridge Mathematical Library - F.S. Macaulay

The Algebraic Theory of Modular Systems

Cambridge Mathematical Library

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

Paperback

Published: 14th April 1994
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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.

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

Introduction
The resultant
The resolvent
General properties of modules
The inverse system
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521455626
ISBN-10: 0521455626
Series: Cambridge Mathematical Library
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 146
Published: 14th April 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 0.9
Weight (kg): 0.22