Atıf İçin Kopyala
Crivei S., KESKİN TÜTÜNCÜ D., Radu S. M., Tribak R.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.22, sa.10, 2023 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
22
Sayı:
10
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Basım Tarihi:
2023
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Doi Numarası:
10.1142/s0219498823502201
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Dergi Adı:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Anahtar Kelimeler:
Abelian category, (dual) CS-Baer object, (dual) Baer object, (dual) CS-Rickart object, (dual) Rickart object, extending object, lifting object, module, STRONGLY RICKART OBJECTS, MODULES
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Hacettepe Üniversitesi Adresli:
Evet
Özet
We investigate relative CS-Baer objects in abelian categories in relationship with other relevant classes of objects such as relative Baer objects, extending objects, objects having certain summand intersection properties and relative CS-Rickart objects. Dual results are automatically obtained by applying the duality principle in abelian categories. We also study direct sums of relative CS-Baer objects, and we determine the complete structure of dual self-CS-Baer modules over Dedekind domains. Further applications are given to module categories.