Geodesic
Some properties of purity in Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 599-606

Voir la notice de l'article provenant de la source Math-Net.Ru

Pure submodules of an Abelian group as modules over its endomorphism ring are studied. In the first section of the paper the endopure submodules of a quasi-decomposable torsion free Abelian group of rank 3 are described. In the second section we prove that pure injectivity of an Abelian group over its endomorphism ring is equivalent to its algebraic compactness. This result is generalized for unitary modules over associative rings with unity. 
@article{FPM_2000_6_2_a15,
     author = {M. A. Turmanov},
     title = {Some properties of purity in {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {599--606},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a15/}
}
TY  - JOUR
AU  - M. A. Turmanov
TI  - Some properties of purity in Abelian groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2000
SP  - 599
EP  - 606
VL  - 6
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a15/
LA  - ru
ID  - FPM_2000_6_2_a15
ER  - 
%0 Journal Article
%A M. A. Turmanov
%T Some properties of purity in Abelian groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 599-606
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a15/
%G ru
%F FPM_2000_6_2_a15
M. A. Turmanov. Some properties of purity in Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 599-606. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a15/