Solitons: Differential equations, symmetries, and infinite-dimensional algebras
《Solitons: Differential equations, symmetries, and infinite-dimensional algebras》 · 第 569 页 · Appendix B，Section B.9「Dimension」
Let $A$ be a ring. Then $\dim A:=\sup\{l\in\mathbb N_0;\ \exists\mathfrak p_0\subsetneq\mathfrak p_1\subsetneq\cdots\subsetneq\mathfrak p_l\text{ a chain of prime ideals of }A\}$ is called the Krull dimension or simply the dimension of the ring $A$.