On the Quotients of Indecomposable Injective Modules
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 187-190
Voir la notice de l'article provenant de la source Cambridge University Press
It is well known that Z(p∞) is isomorphic to each of its non-zero homomorphic images [3]. The aim of the present note is to generalize this fact about Z(p∞) to indecomposable infective modules over rings more general than the ring of integers which will include Dedekind domains as a special case.
Tiwary, A.K. On the Quotients of Indecomposable Injective Modules. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 187-190. doi: 10.4153/CMB-1966-024-1
@article{10_4153_CMB_1966_024_1,
author = {Tiwary, A.K.},
title = {On the {Quotients} of {Indecomposable} {Injective} {Modules}},
journal = {Canadian mathematical bulletin},
pages = {187--190},
year = {1966},
volume = {9},
number = {2},
doi = {10.4153/CMB-1966-024-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-024-1/}
}
[1] 1. Banaschewski, B., On Coverings of Modules, Math.Nachr. (to appear). Google Scholar
[2] 2. Matlis, E., Injective Modules Over Noetherian Rings, Pacific J. Math., volume 8. (1958), pp. 511-528. Google Scholar
[3] 3. Kaplansky, I., Infinite Abelian Groups. University of Michigan Press, (1954). Google Scholar
[4] 4. Samuel, P. and Zarisky, O., Commutative Algebra, volume 1, Princeton (1958). Google Scholar
Cité par Sources :