Events
Linear Algebra Seminar |
| Time: Nov 04, 2014 (04:00 PM) |
| Location:
Title: Endomorphism Rings of Bimodules Presenter: Ulrich Albrecht 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 when viewed as a right R-module are related to such conditions on M when viewed as a left module. In particular, an R-R-bimodule M, which is non-singular as a right and left R-module, has the right essentiality property if the right submodule IM is essential in M for all essential right ideals I of R, and investigate several questions related to this property. |
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Details: Title: Endomorphism Rings of Bimodules Presenter: Ulrich Albrecht 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 when viewed as a right R-module are related to such conditions on M when viewed as a left module. In particular, an R-R-bimodule M, which is non-singular as a right and left R-module, has the right essentiality property if the right submodule IM is essential in M for all essential right ideals I of R, and investigate several questions related to this property. |