Definition:Ring of Sequences/Commutativity

Note
Let $\struct {R, +, \circ}$ be a commutative ring. Let $\struct {R^\N, +', \circ'}$ be the ring of sequences from the natural numbers $\N$ to $R$.

From Structure Induced by Commutative Ring is a Commutative Ring, the ring of sequences over $R$ is a commutative ring.

Also see

 * Structure Induced by Ring Operations is Ring


 * Structure Induced by Commutative Ring Operations is Commutative Ring