Example 31.2.7. Let k be a field. The ring R = k[x_1, x_2, x_3, \ldots ]/(x_ i^2) is local with locally nilpotent maximal ideal \mathfrak m. There exists no element of R which has annihilator \mathfrak m. Hence \text{Ass}(R) = \emptyset , and X = \mathop{\mathrm{Spec}}(R) is an example of a scheme which has no associated points.
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