Retractable and Coretractable Modules over Formal Triangular Matrix Rings
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.45, no.2, pp.429-445, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 45 Issue: 2
- Publication Date: 2019
- Doi Number: 10.1007/s41980-018-0141-7
- Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.429-445
- Hacettepe University Affiliated: Yes
Abstract
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.