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Non-Abelian Torsion Theories

Published online by Cambridge University Press:  20 November 2018

Michael Barr
Michael Barr*
Affiliation:
McGill University, Montreal, Quebec
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Torsion theories have proved a very useful tool in the theory of abelian categories; for example, in one proof of Mitchell's embedding theorem (Bucur and Deleanu [3]) and in ring theory (Lambek [5]). It is the purpose of this paper to initiate an analogous theory for non-abelian categories. Originally we had hoped to prove the non-abelian analogue of Mitchell's theorem this way (Barr, [2, Theorem III (1.3)]), but so far this had not been possible. Nonetheless an interesting variety of examples fit into this theory.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1224 - 1237
Copyright
Copyright © Canadian Mathematical Society 1973

References

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