Classifying subcategories of finitely generated modules over a Noetherian ring
Classifying subcategories of finitely generated modules over a Noetherian ring
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对诺特环上有限生成的模块的子类别进行分类
DOI：
10.1016/j.jpaa.2011.03.013
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Binbin Wang
中科院分区：
文献类型：
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作者：
Donald Stanley;Binbin Wang
对于交换Noether环R，Wide和Serre子范畴的生成R-模已根据它们的支集进行了分类。本文研究了一般挠类，并引入了狭义子范畴。这些都是封闭的操作比宽和塞尔子范畴，但仍然是对R-M生成的R-模的窄子范畴和挠类的分类使用相同的支持数据。虽然对于R-生成的R-模，所有四种子范畴都重合，但它们在所有R-模的大范畴中并不重合。
For R a commutative Noetherian ring, wide and Serre subcategories of finitely generated R-modules have been classified by their support. This paper studies general torsion classes and introduces narrow subcategories. These are closed under fewer operations than wide and Serre subcategories, but still for finitely generated R-modules both narrow subcategories and torsion classes are classified using the same support data. Although for finitely generated R-modules all four kinds of subcategories coincide, they do not coincide in the larger category of all R-modules.
影响因子：
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作者：
A. Neeman;M. Bökstedt
通讯作者：
A. Neeman;M. Bökstedt