Center of Ring Theory - Tutorial Lecture Series
Set Theoretical Aspects of Covers & Envelopes of Modules and Construction, by Pedro Guil-Asensio (University of Murcia, Spain)
| What | Tutorial Lecture Series |
|---|---|
| When |
Mar 25, 2008 01:30 PM
to Mar 26, 2008 03:30 PM |
| Where | McCracken Hall 108 |
| Contact Name | Surender Jain |
| Contact Email | jain@math.ohiou.edu |
| Contact Phone | 740-593-1258 |
| Add event to calendar |
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Tutorial Lecture I
Tuesday, March 25, 2008, 1:30-3:00 PM.
Set theoretical aspects of covers and envelopes of modules
Abstract: We will introduce the notion of covers and envelopes of modules and prove their main basic properties. We will discuss the existence of these covers and why it relies on set-theoretical aspects of module theory.
Tutorial Lecture II
Wednesday, March 26, 2008, 2:00-3:30 PM.
On the construction of indecomposable envelopes.
Abstract: We will prove that cotorsion modules (i.e., injective objects in the category of flat modules) can be described in terms of a set of indecomposable objects. This result suggests that it is possible to define a notion of spectrum in this category. We will also apply our results to the study of the cotorsion envelope of the ring. In particular, we will show that many of the known characterizations of semilocal rings can be explained in this way.
For participation from your office/home, go to: http://132.235.136.133/tcs/
In the Search box enter: Ring Theory. If you have problems viewing the video call the OULN Help Desk @ (740) 597-2934.
For questions to the speaker call 740-593-0958.
