… We will calculate the right Krull dimension of S, but the calculation of the left Krull dimension
is identical. Let θ continue to denote the map Ir (R) → Ir (S) of Proposition 3.1. When n = 0, …

… dimensions over the skew group rings RG and RH. Moreover, under the assumption that RG
is a separable extension over RH, we show that the skew group … rings of Krull dimension n, …

… This paper is a continuation of a project to determine which skew polynomial algebras S =
R[… S is a primitive domain and R has Krull dimension 1 and contains an uncountable field. …

… Throughout this paper we consider skew polynomial rings over an arbitrary set of … to
free skew extensions of a certain class of rings, which includes rings with Krull dimension. …

… groupoid ring B is a partial skew group ring. … radical, perfect, semiprimary and Krull dimension
are studied on the ring … In order to define the Krull dimension of a ring we start by recalling …

… right Krull dimension, or is a ring with ACC on both right and left annihilators. The results
were motivated by [46, Theorem 2.5] of Zhou and Ziembowski. Finally, we prove that R[[S, ω]] is …

… 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 …

… a Grothendieck category, we define the Krull dimension K(A) to … the (right) Krull dimension
of a ring to be its dimension as a (… the relationship between Krull dimension and the geometric …

… of rings of invariants under the action of a finite group. In Sec. … the filtered dimension and the
Krull dimension of the rational … group of outer automorphisms of A and A∗ G the skew group …

… In the case where R has Krull dimension two, the classification is in terms of Dynkin
diagrams of type A, D, E. In fact, the stable Cohen-Macaulay category is equivalent to the 0-cluster …