Hostname: page-component-f554764f5-nt87m Total loading time: 0 Render date: 2025-04-08T17:52:17.531Z Has data issue: false hasContentIssue false
  • English
  • Français

Modules Over Bounded Hereditary Noetherian Prime Rings

Published online by Cambridge University Press:  20 November 2018

M. Zubair Khan
M. Zubair Khan*
Affiliation:
Department of MathematicsAligarh Muslim UniversityAligarh 202001(India)
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Singh introduced two conditions on a module MR in [7]. The author introduced the concept of h-neat submodule of such module in [3] and generalized some of the well known results of neat subgroups. A theorem of Erdelyi was also shown to be true for such modules in [4]. The main purpose of this paper is to generalize a well known result of K. M. Benabdallah and J. M. Irwin and M. Rafiq [2, Theorem 10].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 53 - 57
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Eisenbud, D. and Griffith, P., Serial rings; J. Algebra 17 (1971) 389-400.Google Scholar
2. Benabdullah, K. M., Irwin, J. M. and Rafiq, M., N-high subgroups of abelian p-groups. Archiv. Der. Math. 25 (1974) 29-34.Google Scholar
3. Khan, M.Zubair, Modules behaving like torsion abelian groups. Communicated.Google Scholar
4. Khan, M.Zubair: On a generalization of a theorem of Erdelyi. Communicated.Google Scholar
5. Singh, S., Modules over hereditary Noetherian prime rings. Can. J. Math. 27 (1975) 867-883.Google Scholar
6. Singh, S., Modules over hereditary Noetherian prime rings. Can. J. Math. 28 (1976) 73-82.Google Scholar
7. Singh, S., Some decomposition Theorems in abelian groups and their generalizations: Ring Theory; Proc. of Ohio Univ. Conference Marcel Dekkef N.Y. 1976.Google Scholar