Quiver的正合表示

Representations of quivers by an exact category

给定一个quiver Q和正合范畴A.证明了Q的A-表示范畴Rep(Q,A)继承了A的正合结构;当Q是左rooted quiver时确定了Rep(Q,A)的投射对象.

Let Q be a quiver,A be an exact category.It is proved that the category Rep(Q,A)of A-valued representations of Q inherits the exact structure of A.When Q is a left rooted quiver,the projective objects in Rep(Q,A)are determined.