Geodesic
Modules Behaving Like Torsion Abelian Groups
Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 449-457

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

Recently H. Marubayashi [1,2] and S. Singh [10,11,12] generalized some results of torsion abelian groups for modules over some restricted rings, like bounded Dedekind prime rings, bounded hereditary Noetherian prime rings. Singh [12] introduced the concept of h-purity for a module MR satisfying the following conditions:(I) Every finitely generated submodule of every homomorphic image of M is a direct sum of uniserial modules. 
Khan, M. Zubair. Modules Behaving Like Torsion Abelian Groups. Canadian mathematical bulletin, Tome 22 (1979) no. 4, pp. 449-457. doi: 10.4153/CMB-1979-058-0
@article{10_4153_CMB_1979_058_0,
     author = {Khan, M. Zubair},
     title = {Modules {Behaving} {Like} {Torsion} {Abelian} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {449--457},
     year = {1979},
     volume = {22},
     number = {4},
     doi = {10.4153/CMB-1979-058-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-058-0/}
}
TY  - JOUR
AU  - Khan, M. Zubair
TI  - Modules Behaving Like Torsion Abelian Groups
JO  - Canadian mathematical bulletin
PY  - 1979
SP  - 449
EP  - 457
VL  - 22
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-058-0/
DO  - 10.4153/CMB-1979-058-0
ID  - 10_4153_CMB_1979_058_0
ER  - 
%0 Journal Article
%A Khan, M. Zubair
%T Modules Behaving Like Torsion Abelian Groups
%J Canadian mathematical bulletin
%D 1979
%P 449-457
%V 22
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-058-0/
%R 10.4153/CMB-1979-058-0
%F 10_4153_CMB_1979_058_0

[1,2] 1,2. Marubayashi, H., Modules over bounded dedekind prime rings, I, II, Osaka J. Math. 9(1872), 95-110, 427-445. Google Scholar

[3] 3. Irwin, J. M., High subgroups of abelian torsion groups, Pacific J. Math. 11 (1961). Google Scholar

[4] 4. Irwin, J. M. and Walker, E. A., On N-high subgroups of abelian groups, Pacific J. Math. 11 (1961), 1363-1374. Google Scholar

[5] 5. Fuchs, L., Infinite abelian groups, Vol. I, Academic press, New York (1970). Google Scholar

[6] 6. Fuchs, L., Infinite abelian groups, Vol. II, Academic Press, New York (1973). Google Scholar

[7] 7. Khan, Musharafuddin, Torsion modules over bounded (hnp)rings Ph-D. Dissertation (1976). Google Scholar

[8] 8. Zubair Khan, M., Modules behaving like torsion abelian groups (Abstract), Notices Amer. Math. Soc. June (1977). Google Scholar

[9] 9. Hill, P., Certain pure subgroups of primary groups; Topics in abelian groups, Scott Foresman and Co. (1963). Google Scholar

[10,11] 10,11. Singh, S., Modules over (hnp)-rings, I, II; Canadian J. Math. 27 (1975) 867-883, Canadian J. Math 28 (1976), 73–82. Google Scholar

[12] 12. Singh, S., Some decomposition theorems in abelian groups and their generalizations; Ring theory, Proc. of Ohio Univ. Conference Marcel Dekker, N.Y. (1976), 183-189. Google Scholar

Cité par Sources :