Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T21:53:51.974Z Has data issue: false hasContentIssue false
  • English
  • Français

MODULES OVER PRÜFER DOMAINS WHICH SATISFY THE RADICAL FORMULA

Published online by Cambridge University Press:  01 January 2007

DILEK BUYRUK  and
DILEK PUSAT-YILMAZ
DILEK BUYRUK
Affiliation:
Department of Mathematics, Abant Izzet Baysal University, 14280Bolu/Turkey e-mail: [email protected]
DILEK PUSAT-YILMAZ
Affiliation:
Department of Mathematics, Izmir Institute of Technology, 35430 Urla, Izmir/Turkey e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract.

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.

In this paper we prove that if R is a Prüfer domain, then the R-module R⊕ R satisfies the radical formula.

Keywords

13A1513C9913F0513F30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 127 - 131
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

REFERENCES

1.Gilmer, R., Multiplicative Ideal Theory, Queen's Papers Pure Appl. Math. 90 (Kingston, Ontario, 1992).Google Scholar
2.Jenkins, J. and Smith, P. F., On the prime radical of a module over a commutative ring, Comm. Algebra 20 (1992), 3593–3602.CrossRefGoogle Scholar
3.Leung, Ka Hin and Man, S. H., On commutative Noetherian rings which satisfy the radical formula, Glasgow Math. J. 39 (1997), 285–293.CrossRefGoogle Scholar
4.Man, S. H., One dimensional domains which satisfy the radical formula are Dedekind domains, Arch. Math. (Basel) 66 (1996), 276–279.CrossRefGoogle Scholar
5.Mc Casland, R. L. and Moore, M. E., On radicals of submodules, Comm. Algebra 19 (5) (1991), 1327–1341.CrossRefGoogle Scholar
6.Sharif, H., Sharifi, Y. and Namazi, S., Rings satisfying the radical formula, Acta Math. Hungar. 71 (1996), 103–108.CrossRefGoogle Scholar