Let R be a commutative ring with unit element .if
Supposing R is a commutative ring Identify a subring of R[x] that is isomorphic to R.
Let
a) Prove that
Consider commutative rings R and S. Prove that (a, b) is a zero-divisor in if and only if a or b is a zero-divisor or exactly one of a or b is 0.
Suppose that R is a commutative ring and . If I is an ideal of R and ,demonstrate the maximum ideality.
Show that if A and B are ideals of the unity-containing commutative ring R.