Geodesic
A Generalization of Divisibility and Injectivity in Modules
Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 505-513

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

DOI

Classically, there has been, for obvious reasons, an intimate relation between the concepts "rings of quotients" and "divisible modules". Recently, however, their generalizations have appeared to diverge.For example, Hattori ([9]) and Levy ([15]) have generalized the concept of "divisibility" as follows: Hattori (respectively Levy) defines a left R-module M over a ring R to be divisible if and only if Ext1 R(R/I, M)=0 for every principal left ideal I ⊂ R (respectively, every principal left ideal I ⊂ R which is generated by a regular element of R). 
Sanderson, D. F. A Generalization of Divisibility and Injectivity in Modules. Canadian mathematical bulletin, Tome 8 (1965) no. 4, pp. 505-513. doi: 10.4153/CMB-1965-037-4
@article{10_4153_CMB_1965_037_4,
     author = {Sanderson, D. F.},
     title = {A {Generalization} of {Divisibility} and {Injectivity} in {Modules}},
     journal = {Canadian mathematical bulletin},
     pages = {505--513},
     year = {1965},
     volume = {8},
     number = {4},
     doi = {10.4153/CMB-1965-037-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-037-4/}
}
TY  - JOUR
AU  - Sanderson, D. F.
TI  - A Generalization of Divisibility and Injectivity in Modules
JO  - Canadian mathematical bulletin
PY  - 1965
SP  - 505
EP  - 513
VL  - 8
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-037-4/
DO  - 10.4153/CMB-1965-037-4
ID  - 10_4153_CMB_1965_037_4
ER  - 
%0 Journal Article
%A Sanderson, D. F.
%T A Generalization of Divisibility and Injectivity in Modules
%J Canadian mathematical bulletin
%D 1965
%P 505-513
%V 8
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-037-4/
%R 10.4153/CMB-1965-037-4
%F 10_4153_CMB_1965_037_4

Cité par Sources :