NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS
Marco Grandis, George Janelidze, L. Márki · Journal of the Australian Mathematical Society · 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.