The Algebraic Theory of Modular Systems by Francis Sowerby Macaulay
The Algebraic Theory of Modular Systems - Table of Contents
1. THE RESULTANT
2. THE RESOLVENT
3. GENERAL PROPERTIES OF MODULES
4. THE INVERSE SYSTEM
What You Will Learn in The Algebraic Theory of Modular Systems
Many of the ideas introduced by F.S. Macaulay in this classic 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 that were not systematically developed until considerably later in this century. In this reissue, an introduction by Professor Paul Roberts describes the influence of Macaulay's ideas on recent developments in the subject as well as other changes in the field since then. The background to Macaulay's thinking is discussed, and the development of modern theory is outlined.
Book Details & Specifications
Title:
The Algebraic Theory of Modular Systems by Francis Sowerby Macaulay
Publisher:
Cambridge University Press
Year:
1916
Pages:
140
Type:
PDF
Language:
English
ISBN-10 #:
0521455626
ISBN-13 #:
N\A
License:
N\A
Amazon:
Amazon
About the Author: Francis Sowerby Macaulay
The author
Francis Sowerby Macaulay
(1862 – 1937) was an English mathematician who made significant contributions to algebraic geometry. He become famous because of his book "The Algebraic Theory of Modular Systems", which greatly influenced the later course of commutative algebra. Macaulay was graduated with distinction from St John's College, Cambridge. He taught the top mathematics class in St Paul's School in London from 1885 to 1911. J. E. Littlewood and G. N. Watson are his famous students. His famous books are "Some Formulæ in Elimination" and "The Algebraic Theory of Modular Systems".
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Commutative Algebra