Category:Rings of Endomorphisms

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This category contains results about Rings of Endomorphisms.


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

Let $\mathbb G$ be the set of all group endomorphisms of $\struct {G, \oplus}$.

Let $*: \mathbb G \times \mathbb G \to \mathbb G$ be the operation defined as:

$\forall u, v \in \mathbb G: u * v = u \circ v$

where $u \circ v$ is defined as composition of mappings.


Then $\struct {\mathbb G, \oplus, *}$ is called the ring of endomorphisms of the abelian group $\struct {G, \oplus}$.

Pages in category "Rings of Endomorphisms"

The following 3 pages are in this category, out of 3 total.