Atıf İçin Kopyala
ÖZEN M., Naji O., TEKİR Ü., Shum K. P.
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.74, sa.4, ss.496-505, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
74
Sayı:
4
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Basım Tarihi:
2021
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Doi Numarası:
10.7546/crabs.2021.04.03
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Dergi Adı:
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, zbMATH
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Sayfa Sayıları:
ss.496-505
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Anahtar Kelimeler:
Artinian rings, finitely cogenerated rings, S-Artinian rings, finitely S-cogenerated rings, S-Artinian modules, finitely S-cogenerated modules
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Marmara Üniversitesi Adresli:
Evet
Özet
A module X over a commutative ring A is called S-Artinian, where S is a given multiplicatively closed subset of A, if every descending chain of sub-modules of X is S-stationary. Using this concept, we give many examples, properties and S-versions of several different known results. Also, we characterize S-Artinian in terms of several modules and rings. For instance, X is S-Artinian if and only if every factor module X/Y is a finitely S-cogenerated A-module.