Università degli Studi di Genova
In this paper it is shown how non-pointed exactness provides a framework which allows a simple categorical treatment of the basics of Kurosh-Amitsur radical theory in the non-pointed 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.
semiexact categories, adjoint functors, radical theory, closure operators
Pubblicato su: Journal of the Australian Mathematical Society Vol. 94 (2013) Pag. 348-361