Characterization of the inessential endomorphisms in the category of Abelian group.

Abdelalim, S., and Essannouni, H.. "Characterization of the inessential endomorphisms in the category of Abelian group.." Publicacions Matemàtiques 47.2 (2003): 359-372. <http://eudml.org/doc/41475>.

@article{Abdelalim2003,
abstract = {An endomorphism f of an Abelian group A is said to be inessentia! (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 rnaximal divisible subgroup of A for some v belonging to Z.},
author = {Abdelalim, S., Essannouni, H.},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de grupos; Grupos abelianos; Endomorfismos; Categoría de grupos; inessential endomorphisms; categories of Abelian groups; maximal divisible subgroups},
language = {eng},
number = {2},
pages = {359-372},
title = {Characterization of the inessential endomorphisms in the category of Abelian group.},
url = {http://eudml.org/doc/41475},
volume = {47},
year = {2003},
}

TY - JOUR
AU - Abdelalim, S.
AU - Essannouni, H.
TI - Characterization of the inessential endomorphisms in the category of Abelian group.
JO - Publicacions Matemàtiques
PY - 2003
VL - 47
IS - 2
SP - 359
EP - 372
AB - An endomorphism f of an Abelian group A is said to be inessentia! (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 rnaximal divisible subgroup of A for some v belonging to Z.
LA - eng
KW - Teoría de grupos; Grupos abelianos; Endomorfismos; Categoría de grupos; inessential endomorphisms; categories of Abelian groups; maximal divisible subgroups
UR - http://eudml.org/doc/41475
ER -