Krull dimension and Artin algebras

W Geigle - Representation Theory I Finite Dimensional Algebras …, 2006 - Springer
… the occurrence of Krull dimension two in the tame hereditary case (15) . The aim of this
paper is to determinethe Krull dimension of A-mod for further classes of tame Artin algebras. …

[引用][C] Maximal orders of global dimension and Krull dimension two

M Artin - Inventiones mathematicae, 1986 - Springer
algebras A of global dimension two which are maximal orders [4] over complete two-dimensional
local … We say that such an algebra is of.finite representation type. (As always, the word …

[PDF][PDF] On Azumaya algebras and finite dimensional representations of rings

M Artin - Journal of Algebra, 1969 - core.ac.uk
… generated /z-algebra. Denote by rt,, the Krull dimension of the space of irreducible
representations of A of dimension n (cf. Section 9). Is there a reasonable asymptotic behavior of d,? …

The Krull-Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences

W Geigle - manuscripta mathematica, 1985 - Springer
… hereditary Artin Algebra this dimension does not exist. In this paper we show that the Krull
dimension of A-mod for an Artin Algebra A … The corresponding Krull-Gabriel filtration by Serre …

[PDF][PDF] Krull dimension of Iwasawa algebras and some related topics

K Ardakov - 2004 - people.maths.ox.ac.uk
… the Krull dimension K(ΛG) of ΛG. We establish upper and lower bounds on K(ΛG) in terms of
the Qp-Lie algebra L(G… ring, whose Jacobson radical satisfies the Artin-Rees property. Is the …

[PDF][PDF] A study in Krull dimension

A Goldie, L Small - Journal of Algebra, 1973 - core.ac.uk
… a semi-prime ring with Krull dimension is a Goldie ring and we … Krull dimension is less than
or equal to Krull dimension. This … Krull dimension has a semi-simple artin vight ~otient ring. …

Hidden constructions in abstract algebra: Krull dimension of distributive lattices and commutative rings

T Coquand, H Lombardi - Commutative ring theory and …, 2017 - taylorfrancis.com
… We present constructive versions of Krull's dimension theory for commutative rings and …
We show that the notion of Krull dimension has an explicit computational content in the form …

[图书][B] Krull dimension

R Gordon, JC Robson - 1973 - books.google.com
… any commutative ring, its Krull dimension can be measured on … Krull dimension equals its
classical Krull dimension. As mentioned already, this does not necessarily entail the dimension

Rings with Krull dimension one

A Shamsuddin - Communications in Algebra, 1998 - Taylor & Francis
Krull dimension 1 should be noetherian. Next, we restrict ourselves to domains with Krull
dimension … It turns out, for example, that a non-primitive affine domain with left Krull dimension 1 …

[引用][C] Krull dimension, transcendence degree and subalgebras of finitely generated algebras

JM Giral - Archiv der Mathematik, 1981 - Springer
… AB and the increment dim B -- dim A of the Krull dimensionsdimension of a subalgebra B
of a finitely generated algebraDimension means always Krull dimension. If A is a ring, Spec …