Algebra, Logic and Topology

 

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Title
Flat precovers in varieties

Abstract
In 2000,Bican, El Bashir and Enochs proved a conjecture that every module has a flat (pre)cover. Flat objects can be defined in any variety V as directed colimits of finitely presented projective objects and then we can ask for an existence of flat precovers in V. We will start with an example of a variety where the flat covers conjecture (FCC) is false. It seems that there is a correspondence between FCC and a special condition of cosimplicial objects in V. We will discuss dependence on set-theory. I will show that Johnstone's naturally Maltsev varieties satisfy the condition at least in its simplest case.

Speaker(s)
David Kruml (Masaryk University, Brno, Rep├║blica Checa, e IST, Lisboa)

Date
May 18, 2004

Time
14.30

Room
5.5

 
     
 

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