… If R is a finitely generated commutative k-algebra, then GKdimR = KdimR where the latter
denotes the (classical) Krull dimension. However, for noncommutative rings GK dimension can …

… In following we prove a method for finding Krull dimension. … to have a Krull Dimension. The
smallest ordinal with the property that Γ(E)=Γα(E) will be called the Krull Dimension of E and …

… Krull dimension has finite uniform dimension ([10, Lemma 6.2.6]). Because bijective skew
PBW extensions have Krull … mension ([8, Section 4]) these extensions have uniform dimension. …

… any quotient of a Gorenstein ring of finite Krull dimension has a dualizing complex. It has
been … exists a Gorenstein ring R of finite Krull dimension and an ideal a HR such that SFR=a. …

… like the Macaulay property but with Krull dimension replaced by GelfandKirillov dimension. …
A are skew group rings of free abelian groups over these coefficient rings, ie, iterated skew-…

… group G acting on a right Noetherian ring 5. While the latter paper focussed on the use of the
skew group … function d is always understood to be (Gabriel-Rentschler) Krull dimension in …

… domain with restricted minimum condition (so of Krull dimension K. dim A = 1). A ring R
bas the restricted minimum condition if R is not Artinian but every proper left or right factor …

… Included are properties of right Krull dimension and classical Krull dimension, Goldie's …
(ii) We denote the right Krull dimension of R by rRdim R, the classical Krull dimension of R by …

… Any commutative Noetherian ring satisfies the boundary condition: Indeed, for commutative
Noetherian rings, the classical Krull dimension and the Krull dimension coincide, so we can …

… of finite Krull dimension. … groups of symmetric respectively skew-symmetric spaces in P(X)
as defined by Knebusch [11]. Another new notation in the derived theory are the Witt groups …