<s>
In	O
mathematics	O
,	O
derived	B-Algorithm
noncommutative	I-Algorithm
algebraic	I-Algorithm
geometry	I-Algorithm
,	O
the	O
derived	O
version	O
of	O
noncommutative	B-Algorithm
algebraic	I-Algorithm
geometry	I-Algorithm
,	O
is	O
the	O
geometric	O
study	O
of	O
derived	O
categories	O
and	O
related	O
constructions	O
of	O
triangulated	O
categories	O
using	O
categorical	O
tools	O
.	O
</s>
