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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)
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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
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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