Abstract
In this paper, we study retractable modules and coretractable modules over a formal triangular matrix ring \(T=\left[ \begin{array}{rr} A &{} 0 \\ M &{} B \\ \end{array} \right] \), 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.
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Communicated by Mohammad-Taghi Dibaei.
In memoriam John Clark (1943–2017).
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Tütüncü, D.K., Tribak, R. Retractable and Coretractable Modules over Formal Triangular Matrix Rings. Bull. Iran. Math. Soc. 45, 429–445 (2019). https://doi.org/10.1007/s41980-018-0141-7
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DOI: https://doi.org/10.1007/s41980-018-0141-7