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Mar 11, 2017 at 13:27 comment added motivique I am very sorry that I misunderstood the question. I had another definition in head, that is, pretriangulated categories are additive categories which are both left triangulated categories and right triangulated categories etc. Very sorry for this wrong answer!
Mar 10, 2017 at 8:45 review Suggested edits
Mar 10, 2017 at 9:15
Mar 7, 2017 at 9:33 comment added Jeremy Rickard The quotient of an abelian category by a functorially finite subcategory is not in general pretriangulated. For example, the zero subcategory is always functorially finite.
Mar 7, 2017 at 1:08 comment added Dylan Wilson I'm highly skeptical of both of these 'examples'.
Mar 7, 2017 at 1:05 review Late answers
Mar 7, 2017 at 1:15
Mar 7, 2017 at 0:50 history answered motivique CC BY-SA 3.0