dc.contributor.authors |
Naji, Osama A.; Ozen, Mehmet; Tekir, Unsal |
|
dc.date.accessioned |
2022-12-20T13:24:48Z |
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dc.date.available |
2022-12-20T13:24:48Z |
|
dc.date.issued |
2022 |
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dc.identifier.issn |
0219-4988 |
|
dc.identifier.uri |
http://dx.doi.org/10.1142/S021949882250195X |
|
dc.identifier.uri |
https://hdl.handle.net/20.500.12619/99015 |
|
dc.description |
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir. |
|
dc.description.abstract |
In this paper, we introduce and study the concept of strongly dccr* modules. Strongly dccr* condition generalizes the class of Artinian modules and it is stronger than dccr* condition. Let R be a commutative ring with nonzero identity and M a unital R-module. A module M is said to be strongly dccr* if for every submodule N of M and every sequence of elements (a(i)) of R, the descending chain of submodules a(1)N superset of a(1)a(2)N superset of ... superset of a(1)a(2 )...( )a(n) N superset of .... of M is stationary. We give many examples and properties of strongly (lax*. Moreover, we characterize strongly dccr* in terms of some known class of rings and modules, for instance in perfect rings, strongly special modules and principally cogenerately modules. Finally, we give a version of Union Theorem and Nakayama's Lemma in light of strongly dccr* concept. |
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dc.language |
English |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1142/S021949882250195X |
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dc.subject |
Mathematics |
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dc.subject |
Strongly dccr* modules |
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dc.subject |
perfect rings |
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dc.subject |
strongly special modules |
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dc.subject |
Nakayama's Lemma |
|
dc.title |
On strongly dccr* modules |
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dc.identifier.volume |
21 |
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dc.relation.journal |
JOURNAL OF ALGEBRA AND ITS APPLICATIONS |
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dc.identifier.issue |
10 |
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dc.identifier.doi |
10.1142/S021949882250195X |
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dc.identifier.eissn |
1793-6829 |
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dc.contributor.author |
Naji, Osama A. |
|
dc.contributor.author |
Ozen, Mehmet |
|
dc.contributor.author |
Tekir, Unsal |
|
dc.relation.publicationcategory |
Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı |
|