Endomorphism rings of bimodules |
| |
| Authors: | Ulrich Albrecht Rüdiger Göbel |
| |
| Affiliation: | 1. Department of Mathematics, Auburn University, Auburn, AL, ?36849, USA
2. Fakult?t für Mathematik, Universit?t Duisburg-Essen, 45117, ?Essen, Germany
|
| |
| Abstract: | Let (M) be an (R) - (R) -bimodule over a semi-prime right and left Goldie ring (R) . We investigate how non-singularity conditions on (M_R) are related to such conditions on (_RM) . In particular, we say an (R) - (R) -bimodule (M) such that (_RM) and (M_R) are non-singular has the right essentiality property if (IM_R) is essential in (M_R) for all essential right ideals (I) of (R) , and investigate several questions related to this property. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
