Krull Dimension
Versandkostenfrei!
Versandfertig in 6-10 Tagen
19,99 €
inkl. MwSt.
PAYBACK Punkte
10 °P sammeln!
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In commutative algebra, the Krull dimension of a ring R, named after Wolfgang Krull (1899 - 1971), is the number of strict inclusions in a maximal chain of prime ideals. The Krull dimension need not be finite even for a noetherian ring. A field k has Krull dimension 0; more generally, k[x1,...,xn] has Krull dimension n. A principal ideal domain that is not a field has Krull dimension 1. An alternate way of phrasing this definition is to say that the Krull dimension of...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In commutative algebra, the Krull dimension of a ring R, named after Wolfgang Krull (1899 - 1971), is the number of strict inclusions in a maximal chain of prime ideals. The Krull dimension need not be finite even for a noetherian ring. A field k has Krull dimension 0; more generally, k[x1,...,xn] has Krull dimension n. A principal ideal domain that is not a field has Krull dimension 1. An alternate way of phrasing this definition is to say that the Krull dimension of R is the supremum of heights of all prime ideals of R. In particular, an integral domain has Krull dimension 1 when every nonzero prime ideal is maximal.
