Definition:Category of Right Modules
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Definition
Let $R$ be a ring.
The category of right $R$-modules is the category $\mathbf {Mod-R}$ with:
| Objects: | right modules over $R$ | |
| Morphisms: | right $R$-module homomorphisms | |
| Composition: | composition of mappings | |
| Identity morphisms: | identity mappings |