Category:Definitions/Rings of Mappings

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This category contains definitions related to Rings of Mappings.
Related results can be found in Category:Rings of Mappings.

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

Let $S$ be a set.

Let $R^S$ be the set of all mappings from $S$ to $R$.

The ring of mappings from $S$ to $R$ is the algebraic structure $\struct {R^S, +', \circ'}$ where $+'$ and $\circ'$ are the (pointwise) operations induced on $R^S$ by $+$ and $\circ$.