Defining the Kernel of a hypergroup morphism as the reprocal image of the intersection of all ultra-closed subhypergroups of its codomain we we introduce the notion of exact sequence of hypergroups. If some natural conditions (which are always valid for groups) are satisfied then the existence of a ker-coker sequence in a category of hypergroups is established. Weuse these results to found a homology in a supercategory of the category of (not necessarily commutative) groups.
Hypergroupes de type U et homologie de complexes
FRENI, Domenico;
1996-01-01
Abstract
Defining the Kernel of a hypergroup morphism as the reprocal image of the intersection of all ultra-closed subhypergroups of its codomain we we introduce the notion of exact sequence of hypergroups. If some natural conditions (which are always valid for groups) are satisfied then the existence of a ker-coker sequence in a category of hypergroups is established. Weuse these results to found a homology in a supercategory of the category of (not necessarily commutative) groups.File in questo prodotto:
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