Normalities and commutators
 
 
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.
Date:  2010-02-23
Start Time:   14:00
Speaker:  Sandra Mantovani (Universitá di Milano, Italy)
Institution:  Universitá di Milano, Italy
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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