On the Injective Hulls of Cyclic Modules Over Dedekind Domains
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 183-186
Voir la notice de l'article provenant de la source Cambridge University Press
As is well known, any module M over a ring possesses injective hulls, i. e., injective essential extensions [3], unique up to isomorphisms which map M identically, but the various proofs for this all require some transfinite arguments and hence provide little indication as to how these hulls may actually be constructed for a given module.
Banaschewski, B. On the Injective Hulls of Cyclic Modules Over Dedekind Domains. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 183-186. doi: 10.4153/CMB-1966-023-4
@article{10_4153_CMB_1966_023_4,
author = {Banaschewski, B.},
title = {On the {Injective} {Hulls} of {Cyclic} {Modules} {Over} {Dedekind} {Domains}},
journal = {Canadian mathematical bulletin},
pages = {183--186},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-023-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-023-4/}
}
TY - JOUR AU - Banaschewski, B. TI - On the Injective Hulls of Cyclic Modules Over Dedekind Domains JO - Canadian mathematical bulletin PY - 1966 SP - 183 EP - 186 VL - 9 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-023-4/ DO - 10.4153/CMB-1966-023-4 ID - 10_4153_CMB_1966_023_4 ER -
[1] 1. Banaschewski, B., On Coverings of Modules, Math. Nachr. 31 (1966), 57-71. Google Scholar
[2] 2. Cartan, H. and Eilenberg, S., Homological Algebra. Princeton, (1956). Google Scholar
[3] 3. Eckmann, B. and Schopf, A., Űber injektive Moduln. Archiv der Math. 4, (1953), 75-78. Google Scholar
[4] 4. Samuel, P. and Zariski, O., Commutative Algebra. Princeton, (1958). Google Scholar
Cité par Sources :