Geodesic
Modules Over Hereditary Noetherian Prime Rings, II
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 73-82

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

Let R be a hereditary noetherian prime ring ((hnp)-ring) with enough invertible ideals. Torsion modules over bounded (hnp)-rings were studied by the author in [10; 11]. All the results proved in [10; 11] also hold for torsion R-modules having no completely faithful submodules. In Section 2, indecomposable injective torsion R-modules which are not completely faithful are studied, and they are shown to have finite periodicities (Theorem (2.8) and Corollary (2.9)). These results are used to determine the structure of quasi-injective and quasi-projective modules over bounded (hnp)-rings (Theorems (2.13), (2.14) and (2.15)). 
Singh, Surjeet. Modules Over Hereditary Noetherian Prime Rings, II. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 73-82. doi: 10.4153/CJM-1976-008-3
@article{10_4153_CJM_1976_008_3,
     author = {Singh, Surjeet},
     title = {Modules {Over} {Hereditary} {Noetherian} {Prime} {Rings,} {II}},
     journal = {Canadian journal of mathematics},
     pages = {73--82},
     year = {1976},
     volume = {28},
     number = {1},
     doi = {10.4153/CJM-1976-008-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-008-3/}
}
TY  - JOUR
AU  - Singh, Surjeet
TI  - Modules Over Hereditary Noetherian Prime Rings, II
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 73
EP  - 82
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-008-3/
DO  - 10.4153/CJM-1976-008-3
ID  - 10_4153_CJM_1976_008_3
ER  - 
%0 Journal Article
%A Singh, Surjeet
%T Modules Over Hereditary Noetherian Prime Rings, II
%J Canadian journal of mathematics
%D 1976
%P 73-82
%V 28
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-008-3/
%R 10.4153/CJM-1976-008-3
%F 10_4153_CJM_1976_008_3

[1] 1. Eisenbud, D. and Griffith, P., Serial rings, J. Algebra 17 (1971), 389–400. Google Scholar

[2] 2. Eisenbud, D. and Robson, J. C., Modules over Dedekind prime rings, J. Algebra 16 (1970), 67–84. Google Scholar

[3] 3. Eisenbud, D. and Robson, J. C., Hereditary noeiherian prime rings, J. Algebra 16 (1970), 86–101. Google Scholar

[4] 4. Fuchs, L., Abelian groups (Pergamon Press, 1960). Google Scholar

[5] 5. Goldie, A. W., Semi prime rings with maximum conditions, Proc. London Math. Soc. 10 (1960), 201–220. Google Scholar

[6] 6. Kuzamanovitch, J., Completions of Dedekind prime rings as second endomorphism rings, Pacific J. Math. 86 (1971), 721–729. Google Scholar

[7] 7. Kuzamanovitch, J., Localizations of Dedekind prime rings, J. Algebra 21 (1972), 371–393. Google Scholar

[8] 8. Lenagan, T. H., Bounded hereditary noeiherian prime rings, J. London Math. Soc. 6 (1973), 241–246. Google Scholar

[9] 9. Marubayashi, H., Modules over bounded Dedekind prime rings, Osaka J. Math. 9 (1972), 95–110. Google Scholar

[10] 10. Singh, S., Quasi-injective and quasi-projective modules over hereditary noeiherian prime rings, Can. J. Math. 26 (1974), 1173–1185. Google Scholar

[11] 11. Singh, S., Modules over hereditary noeiherian prime rings, Can. J. Math. 27 (1975), 867–883. Google Scholar

Cité par Sources :