Article contents
NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS
Published online by Cambridge University Press: 07 June 2013
Abstract
In this paper it is shown how nonpointed exactness provides a framework which allows a simple categorical treatment of the basics of Kurosh–Amitsur radical theory in the nonpointed case. This is made possible by a new approach to semi-exactness, in the sense of the first author, using adjoint functors. This framework also reveals how categorical closure operators arise as radical theories.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
- 3
- Cited by