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Characterization of the inessential endomorphisms in the category of Abelian groups
Abdelalim, S.
Essannouni, H.

Data: 2003
Resum: An endomorphism f of an Abelian group A is said to be inessential (in the category of Abelian groups) if it can be extended to an endomorphism of any Abelian group which contains A as a subgroup. In this paper we show that f is as above if and only if (f − v idA)(A) is contained in the maximal divisible subgroup of A for some v ∈ Z.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Category ; Inessential ; Monomorphism ; Rigid ; Divisible ; Extension
Publicat a: Publicacions matematiques, V. 47 N. 2 (2003) , p. 359-372, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_47203_03

14 p, 173.4 KB

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