Stable module theory

1969/01/01 by Maurice Auslander, Mark Bridger · 22 citations
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Rings, Modules, and Algebras

paper · doi:10.1090/memo/0094

openalex publication_date 1969/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01

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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