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Description: |
We first compare several algebraic notions of normality, from a categorical viewpoint. Then we introduce an intrinsic description of Higgins' commutator for ideal-determined categories, and we define a new notion of normality in terms of this commutator. Our main result is to extend to any semi-abelian category the following well-known characterization of normal subgroups: a subobject K is normal in A if, and only if, [A,K]< K.
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Date: |
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Start Time: |
14:00 |
Speaker: |
Sandra Mantovani (Universitá di Milano, Italy)
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Institution: |
Universitá di Milano, Italy
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Place: |
Sala 5.5
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Research Groups: |
-Algebra, Logic and Topology
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See more:
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