is a subring of a ring (complex)
Find an element of R different from the identity element which has a multiplicative inverse in R.
2. Let R,S be rings and suppose is a ring homomorphism. Suppose
(a) Show that if R has an identity element then S has an identity element.
(b) Show that if R is commutative then S is commutative
(C) Is it true that if R is an integral domain then S is an integral domain? Justify your assertion.
I'm not 100% sure on some of this.