Non-pointed exactness, radicals, closure operators (Q2861585)

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scientific article; zbMATH DE number 6224466
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Non-pointed exactness, radicals, closure operators
scientific article; zbMATH DE number 6224466

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    11 November 2013
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    nonpointed exactness
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    null morphisms
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    adjoint functors
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    Kurosh-Amitsur radicals
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    categorical closure operators
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    Non-pointed exactness, radicals, closure operators (English)
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    In this paper the authors show how nonpointed exactness provides a framework which allows for 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 using adjoint functors. This framework also reveals how categorical closure operators arise as radical theories.
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