Retractable and Coretractable Modules over Formal Triangular Matrix Rings


KESKİN TÜTÜNCÜ D. , Tribak R.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.45, ss.429-445, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s41980-018-0141-7
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.429-445

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.