Category:Definitions/Graded Abelian Groups

This category contains definitions related to Graded Abelian Groups.
Related results can be found in Category:Graded Abelian Groups.

Let $\Delta$ be a set.

A graded abelian group of type $\Delta$ is a pair $\struct {G, f}$ where:

$G$ is an abelian group

$f$ is a gradation on $G$ indexed by $\Delta$, the set of degrees.