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 $\circ$.
Subcategories
This category has only the following subcategory.
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Pages in category "Definitions/Rings of Mappings"
The following 11 pages are in this category, out of 11 total.
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- Definition:Ring of Mappings
- Definition:Ring of Mappings/Additive Inverse
- Definition:Ring of Mappings/Commutativity
- Definition:Ring of Mappings/Pointwise Addition
- Definition:Ring of Mappings/Pointwise Multiplication
- Definition:Ring of Mappings/Units
- Definition:Ring of Mappings/Unity
- Definition:Ring of Mappings/Zero