All Questions
Tagged with algebraic-k-theory homological-algebra
3 questions
9
votes
6
answers
4k
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Differences between reflexives and projectives modules
Let R be a normal noetherian domain.
What is the difference between a finitely generated reflexive module and a finitely generated projective module?
Can anybody recommend any references or make ...
10
votes
1
answer
1k
views
Quasi-isomorphisms in exact categories
I am trying to understand quasi-isomorphisms in an exact category as defined via the mapping cylinder. I would like to know whether these form a category of weak equivalences in the sense of ...
7
votes
2
answers
2k
views
Local property of split exact sequence
In the module category of a ring $A$, is a short exact sequence split if and only if the localization of this sequence is split for every prime ideal?
Thanks!