Classifying subcategories of finitely generated modules over a Noetherian ring |
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Authors: | Donald Stanley Binbin Wang |
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Institution: | University of Regina, Department of Mathematics, College West 307.14, Regina, Saskatchewan, Canada, S4S 0A2 |
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Abstract: | 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. |
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Keywords: | Primary 13C05 Secondary 16D90 18E99 |
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