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Università degli Studi di Genova |
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Università degli Studi di Genova |
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Abstract: 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. Keywords: semiexact categories, adjoint functors, radical theory, closure operators MSC: 18 Pubblicato su: Journal of the Australian Mathematical Society Vol. 94 (2013) Pag. 348-361 |