Talk:Exact functor

From Wikipedia, the free encyclopedia

Isn't it necessary that exact functors between abelian categories are additive? Otherwise the equivalence of the two different definitions and the left-exactness probably would not hold. ---oo- 7 July 2005 13:44 (UTC)

Short exact sequences redirects to exact sequences. Isn't this a problem?


A pedantic point: the first paragraph is a little sloppy, in that it fixes a short exact sequence 0->A->B->-0, whereas obviously we should quantify over all such. Artie p 10:09, 24 May 2006 (UTC)

[edit] general definition of left/right exact functors

i know the definition by commuting with direct/inverse limits. it can be shown to be equivalent. should this be mentioned? --Ibotty 14:10, 3 December 2006 (UTC)

ah, i see. its in the examples. i think a more general definition should not be a part of examples. --Ibotty 14:14, 3 December 2006 (UTC)