State spaces of \(K_ 0\) of Noetherian rings
type: Item
instance of: scholarly article
title: State spaces of \(K_ 0\) of Noetherian rings
zbMATH Open document ID: 0472.16005
DOI: 10.1016/0021-8693(81)90181-2
author: Kenneth R. Goodearl
author: Robert B. jun. Warfield
published in: Journal of Algebra
publication date: 1981-01-01T00:00:00Z
Mathematics Subject Classification ID: 16P40
Mathematics Subject Classification ID: 16E20
Mathematics Subject Classification ID: 16Dxx
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 16P50
zbMATH DE Number: 3739776
zbMATH Keywords: K-theory of non-commutative rings
zbMATH Keywords: order-preserving linear functionals
zbMATH Keywords: partially ordered real vector space
zbMATH Keywords: Grothendieck group
zbMATH Keywords: finitely generated projective right module
zbMATH Keywords: state space
zbMATH Keywords: semihereditary ring
zbMATH Keywords: right noetherian rings
zbMATH Keywords: right Krull dimension
zbMATH Keywords: quotient ring
zbMATH Keywords: patch topology
zbMATH Keywords: extreme boundary
zbMATH Keywords: noetherian ring with finite Krull dimension
zbMATH Keywords: hereditary noetherian prime rings
zbMATH Keywords: idempotent maximal ideals
MaRDI profile type: Publication
full work available at URL: 0021-8693(81)90181-2
OpenAlex ID: W2011286868
cites work: Q5611281
cites work: Q3254057
cites work: Serial rings
cites work: Modules over Dedekind prime rings
cites work: Hereditary Noetherian prime rings
cites work: Projective modules over non-commutative semilocal rings
cites work: Algebraic representations of Choquet simplexes
cites work: Q4198895
cites work: Q3207144
cites work: Rank functions and \(K_0\) of regular rings
cites work: Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
cites work: Simple modules over hereditary Noetherian prime rings
cites work: Krull dimension
cites work: Prime Ideal Structure in Commutative Rings
cites work: Q5723419
cites work: On fully left bounded left Noetherian rings
cites work: Q5508589
cites work: Q4061092
cites work: Idealizers and hereditary Noetherian prime rings
cites work: Q5727879
cites work: Algebraic \(K\)-theory
cites work: K-theory of finite groups and orders. Notes by E. Graham Evans
cites work: The number of generators of a module over a fully bounded ring
cites work: Ideals and modules of simple Noetherian hereditary rings
cites work: Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
cites work: Another generalization of Caratheodory's theorem
description: scientific article; zbMATH DE number 3739776