Personal tools
 

Approximations of objects by ideals of morphisms and phantom maps

— filed under: ,

Pedro A. Guil Asensio, University of Murcia, Spain

What
  • Colloquium
  • Algebra Seminar
When Tue, Jun 23, 2015
from 02:00 PM to 02:50 PM
Where MDH 1076
Add event to calendar vCal
iCal

ABSTRACT: We developed a general theory of phantom morphisms in additive exact categories associated to subfunctors of the Ext functor. In particular, when the exact category has enough projective and injective modules, we prove that an ideal I in the category is special precovering if and only if there exists a subfunctor F of Ext with enough injective morphisms such that I is the ideal of phantom morphisms associated to the subfunctor F. We will specially stress the connection of our results with the classical notion of approximations of modules due to Auslander and Enochs. We will also emphasize difffererent applications of this theory as, for instance, the existence of phantom covers of modules, the Auslander-Reiten theory for Artin Algebras, the homotopy theory of semisplit complexes of modules, or the study of geometrical purity in the category of quasi-coherent sheaves over a scheme.

« November 2017 »
November
SuMoTuWeThFrSa
1234
567891011
12131415161718
19202122232425
2627282930
Upcoming Events
Algebra Seminar
Tue, Nov 21, 2017
Additive Representations of Elements in Rings Feroz Siddique, University of Wisconsin-Barron County
Computer Science Seminar
Tue, Nov 21, 2017
Generalized Persistence Models, II by David Letscher, SLU
Previous events…
Upcoming events…