Generating ideals in Prüfer domains
From MaRDI portal
Publication:1223447
DOI10.2140/pjm.1976.62.117zbMath0321.13012OpenAlexW1997976410MaRDI QIDQ1223447
Publication date: 1976
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1976.62.117
Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)
Related Items
The Bass and topological stable ranks of the Bohl algebra are infinite ⋮ Algorithmic theory of arithmetic rings, Prüfer rings and Dedekind rings. (Théorie algorithmique des anneaux arithmétiques, des anneaux de Prüfer et des anneaux de Dedekind.) ⋮ Bounding the number of generators of an invertible ideal ⋮ Un anneau de Prüfer. (A Prüfer ring) ⋮ Cancellation of finite-dimensional Noetherian modules ⋮ Rings of finite rank and finitely generated ideals ⋮ Modules over some group rings, having \(d\)-generator property ⋮ The conditions \(\text{Int}(R)\subseteq R_S[X\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials] ⋮ On rings whose Morita class is represented by matrix rings ⋮ A principal ideal theorem for compact sets of rank one valuation rings ⋮ Strongly two-generated ideals ⋮ Direct sums of ideals ⋮ Generating ideals in real holomorphy rings ⋮ Rings of square stable range one ⋮ An ultrapower analogue of the Kronecker function ring ⋮ On the Krull dimension of rings of transfer functions ⋮ DECIDABILITY OF THE THEORY OF MODULES OVER PRÜFER DOMAINS WITH INFINITE RESIDUE FIELDS ⋮ Number of generators of a module over a ring of polynomials ⋮ A theorem on ideals in prüfer rings of integral-valued polynomials ⋮ Über die erzeugendenanzahl invertierbarer ideale in prüferringen ⋮ Bounding the number of generators of a module ⋮ Prüfer domains of integer-valued polynomials and the two-generator property ⋮ Semihereditary prime algebras ⋮ On flat finitely generated ideals ⋮ On relative real holomorphy rings ⋮ Equivalent generating vectors of finitely generated modules over commutative rings ⋮ Decidability and modules over Bézout domains ⋮ Finitely generated ideals of the ring of integer-valued polynomials ⋮ Local-global bounds for number of generators of projective modules over polynomial rings ⋮ The Ring of Real-Valued Multivariate Polynomials: An Analyst’s Perspective
