Mathematics Homework Solutions
#124701
Show that a ring isomorphism has a multiplicative identity and is commutative.
Suppose φ:R --> S is a ring isomorphism. Show that R has a multiplicative identity if, and only if, S has a multiplicative identity. Show that R is commutative if, and only if, S is commutative.
It is shown that a ring isomorphism has a multiplicative identity and is commutative. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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