QF-3 rings and categories of projective modules
β Scribed by Hiroyuki Tachikawa
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 305 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0021-8693
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## Abstract We introduce the notion of relative singularity category with respect to a selfβorthogonal subcategory Ο of an abelian category. We introduce the Frobenius category of ΟβCohenβMacaulay objects, and under certain conditions, we show that the stable category of ΟβCohenβMacaulay objects is
We describe the structure of infinitely generated projective modules over hereditary Noetherian prime rings. The isomorphism invariants are uniform dimension and ranks at maximal ideals. Infinitely generated projective modules need not be free. However, every uncountably generated projective module