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Some functors arising from the consideration of torsion theories over noncommutative rings
Published online by Cambridge University Press: 17 April 2009
Abstract
To each associative (but not necessarily commutative) ring R we assign the complete distributive lattice R-tors of (hereditary) torsion theories over R-mod. We consider two ways of making this process functorial – once contravariantly and once covariantly – by selecting appropriate subcategories of the category of associative rings. Combined with a functor due to Rota, this gives us functors from these subcategories to the category of commutative rings.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 455 - 460
- Copyright
- Copyright © Australian Mathematical Society 1976
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