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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

Jonathan S. Golan
Jonathan S. Golan
Affiliation:
Department of Mathematics, University of Haifa, Mount Carmel, Haifa, Israel.
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Abstract

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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

References

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