Solitons: Differential equations, symmetries, and infinite-dimensional algebras
《Solitons: Differential equations, symmetries, and infinite-dimensional algebras》 · 第 42 页 · Definition 2.2
Let $A$ be a ring. The set $\operatorname{Spec}A$ of all prime ideals of $A$ with the topology whose closed sets are the sets $V(\mathfrak a)$, where $\mathfrak a$ runs through the ideals of $A$, is called the prime spectrum of $A$. The topology thus defined is called the Zariski topology on $\operatorname{Spec}A$.