dc.contributor.authors |
Ozen, Mehmet; Naji, Osama A.; Tekir, Unsal; Koc, Suat |
|
dc.date.accessioned |
2022-12-20T13:24:56Z |
|
dc.date.available |
2022-12-20T13:24:56Z |
|
dc.date.issued |
2022 |
|
dc.identifier.issn |
2194-6701 |
|
dc.identifier.uri |
http://dx.doi.org/10.1007/s40304-021-00268-1 |
|
dc.identifier.uri |
https://hdl.handle.net/20.500.12619/99107 |
|
dc.description |
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir. |
|
dc.description.abstract |
Let R be a commutative ring having nonzero identity and M be a unital R-module. Assume that S subset of R is a multiplicatively closed subset of R. Then, M satisfies S-Noetherian spectrum condition if for each submodule N of M, there exist s is an element of S and a finitely generated submodule F subset of N such that sN subset of rad(M)(F), where rad(M)(F) is the prime radical of F in the sense (McCasland and Moore in Commun Algebra 19(5):1327-1341, 1991). Besides giving many properties and characterizations of S-Noetherian spectrum condition, we prove an analogous result to Cohen's theorem for modules satisfying S-Noetherian spectrum condition. Moreover, we characterize modules having Noetherian spectrum in terms of modules satisfying the S-Noetherian spectrum condition. |
|
dc.language |
English |
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dc.language.iso |
eng |
|
dc.relation.isversionof |
10.1007/s40304-021-00268-1 |
|
dc.subject |
Mathematics |
|
dc.subject |
Noetherian modules |
|
dc.subject |
S-Noetherian modules |
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dc.subject |
Noetherian spectrum |
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dc.subject |
S-Noethcrian spectrum condition |
|
dc.title |
On Modules Satisfying S-Noetherian Spectrum Condition |
|
dc.type |
Early Access |
|
dc.relation.journal |
COMMUNICATIONS IN MATHEMATICS AND STATISTICS |
|
dc.identifier.doi |
10.1007/s40304-021-00268-1 |
|
dc.identifier.eissn |
2194-671X |
|
dc.contributor.author |
Ozen, Mehmet |
|
dc.contributor.author |
Naji, Osama A. |
|
dc.contributor.author |
Tekir, Unsal |
|
dc.contributor.author |
Koc, Suat |
|
dc.relation.publicationcategory |
Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı |
|