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.
@article{urn:eudml:doc:41475,
title = {Characterization of the inessential endomorphisms in the category of Abelian group.},
journal = {Publicacions Matem\`atiques},
volume = {47},
year = {2003},
pages = {359-372},
zbl = {1061.20047},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41475}
}
Abdelalim, S.; Essannouni, H. Characterization of the inessential endomorphisms in the category of Abelian group.. Publicacions Matemàtiques, Tome 47 (2003) pp. 359-372. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41475/