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

Date: 2003
Abstract: 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.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Category ; Inessential ; Monomorphism ; Rigid ; Divisible ; Extension
Published in: Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 359-372, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38077
DOI: 10.5565/PUBLMAT_47203_03


14 p, 173.4 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2006-03-13, last modified 2022-02-20



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