A few years ago I gave a departmental colloquium talk, aimed at beginning M.A. students, on "An application of calculus to ring theory." A slightly facetious little abstract can be found here. The example establishing the main results—very well known to workers in commutative ring theory—was the ring of germs at $0$ of class $C^{\infty}$ functions on $\mathbb{R}$. A bit of calculus is needed in verifying the requisite properties.
|
1 | [made Community Wiki] | ||
|
|
||||
