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Stable module theory

Author: Maurice Auslander; Mark Bridger
Publisher: Providence, R.I. : American Mathematical Society, 1969.
Series: Memoirs of the American Mathematical Society, no. 94.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein  Read more...
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Document Type: Book
All Authors / Contributors: Maurice Auslander; Mark Bridger
ISBN: 0821812947 9780821812945
OCLC Number: 1318998
Description: 146 pages ; 26 cm.
Contents: Introduction --
Satellites and stable functors --
Applications to Noetherian rings --
Gorenstein dimension --
Applications to commutative rings --
Appendix The maps [italic]M→[italic]D ²[over] [subscript]k([italic]M).
Series Title: Memoirs of the American Mathematical Society, no. 94.
Responsibility: by Maurice Auslander and Mark Bridger.

Abstract:

The notions of torsion and torsion freeness have played a very important role in module theory--particularly in the study of modules over integral domains. Furthermore, the use of homological techniques in this connection has been well established. It is the aim of this paper to extend these techniques and to show that this extension leads naturally to several new concepts (e.g. k-torsion freeness and Gorenstein dimension) which are useful in the classification of modules and rings.

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