在交换代数中，一个环的克鲁尔维数定义为素理想链的最大长度。此概念依学数家 Wolfgang Krull（1899年-1971年）命名。
英语百科
Krull dimension 克鲁尔维数
（重定向自Height of an ideal）
In commutative algebra, the Krull dimension of a commutative ring R, named after Wolfgang Krull, is the supremum of the lengths of all chains of prime ideals. The Krull dimension need not be finite even for a Noetherian ring. More generally the Krull dimension can be defined for modules over possibly non-commutative rings as the deviation of the poset of submodules.