Quiver (mathematics) - Definition

Definition

A quiver Γ consists of:

  • The set V of vertices of Γ
  • The set E of edges of Γ
  • Two functions: s:EV giving the start or source of the edge, and another function, t:EV giving the target of the edge.

This definition is identical to that of a multidigraph.

A morphism of quivers is defined as follows. If and are two quivers, then a morphism of quivers consist of two functions and such that following diagrams commute:

and

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