Stable Module Theory
Stable Module Theory
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DOI：
10.1090/memo/0094
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发表时间：
1969-12
影响因子：
4.2
通讯作者：
M. Auslander;M. Bridger
中科院分区：
文献类型：
--
作者：
M. Auslander;M. Bridger
挠率和挠率自由度的概念在模理论中起着非常重要的作用，特别是在整环上的模的研究中。此外，同源技术在这方面的使用已经得到了很好的确立。本文的目的是推广这些技巧，并证明这种推广自然地引出了几个在模和环的分类中有用的新概念(如k-挠度和Gorenstein维)。
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.