RRF rings which are not LRF |
| |
| Authors: | K Varadarajan |
| |
| Institution: | (1) Department of Mathematics and Statistics, University of Calgary, T2N 1N4 Calgary, Alberta, Canada |
| |
| Abstract: | Define a ringA to be RRF (respectively LRF) if every right (respectively left)A-module is residually finite. We determine the necessary and sufficient conditions for a formal triangular matrix ring
to be RRF (respectively LRF). Using this we give examples of RRF rings which are not LRF. |
| |
| Keywords: | Residual finiteness simple modules injective hulls boolean rings |
| 本文献已被 SpringerLink 等数据库收录！ |
