# Definition:Ring of Sequences/Commutativity

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## Definition

Let $\struct {R, +, \circ}$ be a commutative ring.

Let $\struct {R^\N, +', \circ'}$ be the ring of sequences over $R$.

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