Retractable and Coretractable Modules over Formal Triangular Matrix Rings

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Atıf İçin Kopyala

KESKİN TÜTÜNCÜ D., Tribak R.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.45, sa.2, ss.429-445, 2019 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 45 Sayı: 2
• Basım Tarihi: 2019
• Doi Numarası: 10.1007/s41980-018-0141-7
• Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.429-445
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we study retractable modules and coretractable modules over a formal triangular matrix ring T = [A O M B], where A and B are rings and M is a (B,A)-bimodule. We determine necessary and sufficient conditions for a T-module to be, respectively, retractable or coretractable. We also characterize the right Kasch formal triangular matrix rings. Some examples are provided to illustrate and delimit our results.