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

Publicacions Matemàtiques (2003)

- Volume: 47, Issue: 2, page 359-372
- ISSN: 0214-1493

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topAbdelalim, 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 -

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