- #1

cs0978

- 1

- 0

*Let R = Z, together with the two operations:*

a + b := a + b + 3 and ab := ab + 3a + 3b + 6

Let S = Z, together with the two operations:

a + b := a + b - 2 and ab := -ab + 2a + 2b - 2

Assume ordinary addition and multiplication in Z and that R and S are rings.

Prove that R is isomorphic to S.

a + b := a + b + 3 and ab := ab + 3a + 3b + 6

Let S = Z, together with the two operations:

a + b := a + b - 2 and ab := -ab + 2a + 2b - 2

Assume ordinary addition and multiplication in Z and that R and S are rings.

Prove that R is isomorphic to S.