Math Is Fun Forum

GTK X Hunter

Member

Registered: 2009-10-13

Posts: 10

Ring of Endomorphism =3

Let

be a ring with unity and let

be the ring of endomorphisms of

. Let

, and let

be given by

.
a) Show that

is an endomorphism of

b) Show that

is a subring of

c) Prove the analogue of Cayley's theorem for

by showing that

of (b) is isomorphic to