Geodesic
When Flats are Torsion Free
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 559-561

Voir la notice de l'article provenant de la source Cambridge

DOI

Given a complete Serre class τ this determines a torsion theory with T the class of torsion modules. It also determines the torsion free modules. For the classical torsion in the category of abelian groups the torsion free modules are flat and visa-versa. Which rings are characterized by this property? More precisely: Which rings admit a torsion theory for which the concepts of torsion free and flat are equivalent? We also dispose of the cases when R admits a toision theory for which torsion free is equivalent to injective and when projective is equivalent to torsion free. 
Page, S. When Flats are Torsion Free. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 559-561. doi: 10.4153/CMB-1974-099-6
@article{10_4153_CMB_1974_099_6,
     author = {Page, S.},
     title = {When {Flats} are {Torsion} {Free}},
     journal = {Canadian mathematical bulletin},
     pages = {559--561},
     year = {1974},
     volume = {17},
     number = {4},
     doi = {10.4153/CMB-1974-099-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-099-6/}
}
TY  - JOUR
AU  - Page, S.
TI  - When Flats are Torsion Free
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 559
EP  - 561
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-099-6/
DO  - 10.4153/CMB-1974-099-6
ID  - 10_4153_CMB_1974_099_6
ER  - 
%0 Journal Article
%A Page, S.
%T When Flats are Torsion Free
%J Canadian mathematical bulletin
%D 1974
%P 559-561
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-099-6/
%R 10.4153/CMB-1974-099-6
%F 10_4153_CMB_1974_099_6

Cité par Sources :