Characterization of the inessential endomorphisms in the category of Abelian groups

• Autores: Hassane Essannouni, S. Abdelalim
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 47, Nº 2, 2003, págs. 359-372
• Idioma: inglés
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• Resumen

  • 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.