Grandis, M. and Janelidze, G. and Márki, László (2013) NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 94 (3). pp. 348-361. ISSN 1446-7887
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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.
| Item Type: | Article |
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| Uncontrolled Keywords: | TORSION THEORY; ABELIAN CATEGORIES; categorical closure operators; Kurosh-Amitsur radicals; adjoint functors; null morphisms; nonpointed exactness |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2014 21:19 |
| Last Modified: | 08 Feb 2014 07:11 |
| URI: | http://real.mtak.hu/id/eprint/10068 |
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