Abstract
We study classes of modules over a commutative ring which allow to do homological algebra relative to such a class. We classify those classes consisting of injective modules by certain subsets of ideals. When the ring is Noetherian the subsets are precisely the generization closed subsets of the spectrum of the ring. © 2013 World Scientific Publishing Company.
Original language | English |
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Article number | 1250188 |
Journal | Journal of Algebra and Its Applications |
Volume | 12 |
DOIs | |
Publication status | Published - 1 Jan 2013 |
Keywords
- Injective classes
- Noetherian ring
- localizing subcategories
- relative resolutions
- smashing subcategories