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- Hopfian_object abstract "In the branch of mathematics called category theory, a hopfian object is an object A such that any surjective morphism of A onto A is necessarily an automorphism. The dual notion is that of a cohopfian object, which is an B such that every injective morphism from B into B is necessarily an automorphism. The two conditions have been studied in the categories of groups, rings, modules, and topological spaces.The terms "hopfian" and "cohopfian" have arisen since the 1960s, and are said to be in honor of Heinz Hopf and his use of the concept of the hopfian group in his work on fundamental groups of surfaces. (Hazewinkel 2001, p. 63)".
- Hopfian_object wikiPageExternalLink Co-Hopfian_group.
- Hopfian_object wikiPageExternalLink Hopfian_group.
- Hopfian_object wikiPageID "32290692".
- Hopfian_object wikiPageRevisionID "559991248".
- Hopfian_object hasPhotoCollection Hopfian_object.
- Hopfian_object subject Category:Category_theory.
- Hopfian_object subject Category:Group_theory.
- Hopfian_object subject Category:Module_theory.
- Hopfian_object subject Category:Ring_theory.
- Hopfian_object comment "In the branch of mathematics called category theory, a hopfian object is an object A such that any surjective morphism of A onto A is necessarily an automorphism. The dual notion is that of a cohopfian object, which is an B such that every injective morphism from B into B is necessarily an automorphism.".
- Hopfian_object label "Hopfian object".
- Hopfian_object sameAs m.0gywxt3.
- Hopfian_object sameAs Q5900526.
- Hopfian_object sameAs Q5900526.
- Hopfian_object wasDerivedFrom Hopfian_object?oldid=559991248.
- Hopfian_object isPrimaryTopicOf Hopfian_object.