For a topological space (taking irreducible closed subsets) or a ring (prime ideals), the Krull dimension is the supremum of lengths of chains. For affine varieties equals transcendence degree of k(X) over k. dim A^n_k = n, dim of a…
For a topological space (taking irreducible closed subsets) or a ring (prime ideals), the Krull dimension is the supremum of lengths of chains. For affine varieties equals transcendence degree of k(X) over k. dim A^n_k = n, dim of a…