Definition
A quiver Γ consists of:
- The set V of vertices of Γ
- The set E of edges of Γ
- Two functions: s:E→V giving the start or source of the edge, and another function, t:E→V 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
Read more about this topic: Quiver (mathematics)
Famous quotes containing the word definition:
“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth mans fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on life (based on wording in the First Edition, 1935)
“The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.”
—Samuel Taylor Coleridge (17721834)