Category:Endomorphism Rings of Abelian Groups

This category contains results about Endomorphism Rings of Abelian Groups.
Definitions specific to this category can be found in Definitions/Endomorphism Rings of Abelian Groups.

Let $\struct {G, +}$ be an abelian group.

Let $\map {\mathrm {End} } G$ be the set of endomorphisms of $G$.

The endomorphism ring of $G$ is the algebraic structure:

$\struct {\map {\mathrm {End} } G, \oplus, \circ}$

where:

$\circ$ denotes composition of mappings

$\oplus$ denotes the pointwise operation on $\map {\mathrm {End} } G$ induced by $+$.