I am wondering if there exists a category of modules over the semi-ring of the complex numbers.
2026-04-01 15:24:55.1775057095
Category of Modules over the semi-ring of complex numbers
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Yes: there is a category of modules for any given ring. Two categories in fact: the right modules and the left modules.
You usually call the category of $\mathbb C$ modules "the category of vector spaces over $\mathbb C$."