Home > Articles > Published articles > Characterization of the inessential endomorphisms in the category of Abelian groups |
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 |
14 p, 173.4 KB |