The Algebraic Theory of Modular Systems (Cambridge Mathematical Library)

The Algebraic Theory of Modular Systems (Cambridge Mathematical Library)

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F. S. Macaulay
Cambridge University Press
Edition: New Ed, 4/14/1994
EAN 9780521455626, ISBN10: 0521455626

Paperback, 144 pages, 22.7 x 15.1 x 0.8 cm
Language: English

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.

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