Krull dimension
= Krull dimension
{wiki=Krull_dimension}
The Krull dimension is a concept in commutative algebra and algebraic geometry that measures the "size" or complexity of a ring or a space in terms of its prime ideals. More formally, the Krull dimension of a ring \\( R \\) is defined as the supremum of the lengths of all chains of prime ideals in \\( R \\).