REAL

NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS

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
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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