The ring of real trigonometric polynomials
The ring
Throughout we consider the polynomial ring \[ R=\mathbb{R}[\cos{x},\sin{x}]. \] This ring has a lot of non-trivial properties which give us a good chance to study commutative ring theory.
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Throughout we consider the polynomial ring \[ R=\mathbb{R}[\cos{x},\sin{x}]. \] This ring has a lot of non-trivial properties which give us a good chance to study commutative ring theory.