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Description: |
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.
Area(s):
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Date: |
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| Start Time: |
14.30 |
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Speaker: |
David Kruml
(Masaryk University, Brno, República Checa, e
IST, Lisboa)
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Place: |
5.5
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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<Main>
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