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Multiplicative lattices with Noetherian spectrum
Joint Authors
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 18, Issue 1 (31 Mar. 2003), pp.11-20, 10 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2003-03-31
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract EN
Let R be a commutative ring with identity.
Recall that the ring R has Noetherian spectrum if R satisfies the ascending chain condition for radical ideals.
We say that a multiplicative lattice L has Noetherian spectrum (has property (N)) if L satisfies the ascending chain condition for radical elements.
The purpose of this paper is to study properties equivalent to the property (N) in multiplicative lattices, and to define a multiplicative lattice L which has a locally Noetherian spectrum.
We proved that L has a locally Noetherian spectrum need not have Noetherian spectrum.
So, we characterized those lattices with locally.
Noetherian spectrum which have also Noetherian spectrum.
American Psychological Association (APA)
Naqri, Hasan& al-Khujah, Iman. 2003. Multiplicative lattices with Noetherian spectrum. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 18, no. 1, pp.11-20.
https://search.emarefa.net/detail/BIM-366785
Modern Language Association (MLA)
Naqri, Hasan& al-Khujah, Iman. Multiplicative lattices with Noetherian spectrum. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 18, no. 1 (2003), pp.11-20.
https://search.emarefa.net/detail/BIM-366785
American Medical Association (AMA)
Naqri, Hasan& al-Khujah, Iman. Multiplicative lattices with Noetherian spectrum. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2003. Vol. 18, no. 1, pp.11-20.
https://search.emarefa.net/detail/BIM-366785
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 20
Record ID
BIM-366785