# Possible bug with identity morphism

I have a number field `U`

for which I consider its automorphisms through `Hom(U,U)`

.
The identity `one=Hom(U,U).identity()`

behaves weirdly under right multiplication:

```
U = CyclotomicField(3)
f = Hom(U,U)[1]
print f
print "--------------------"
one = Hom(U,U).identity()
print f*one
print "--------------------"
print one*f
print "--------------------"
print f*f
```

When I run this code, I expect `f`

to be printed thrice, followed by the identity morphism.
However, while the first and third output do in fact both print `f`

, the second prints

```
Composite map:
From: Cyclotomic Field of order 3 and degree 2
To: Cyclotomic Field of order 3 and degree 2
Defn: Identity endomorphism of Cyclotomic Field of order 3 and degree 2
then
Ring endomorphism of Cyclotomic Field of order 3 and degree 2
Defn: zeta3 |--> -zeta3 - 1
```

Is this a bug or is this this behaviour explained somewhere in the documentation?