One-dimensional stable rings

DOI10.1016/j.jalgebra.2016.02.002zbMath1346.13051arXiv1603.02173OpenAlexW2964152727MaRDI QIDQ286541

Bruce Olberding

Publication date: 20 May 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02173

zbMATH Keywords

Cohen-Macaulay ringlocal ringstable idealtwo-generated ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (6)

Lattices over Bass rings and graph agglomerations ⋮ On finitely stable domains. II ⋮ The construction D + XD _S [ X and G -Prüfer domains] ⋮ On finitely stable domains. I ⋮ On the arithmetic of stable domains ⋮ Krull's principal ideal theorem in non-Noetherian settings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prescribed subintegral extensions of local Noetherian domains
• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• On Nagata's theorem for the class group
• Rings with two-generated ideals
• Exercises in modules and rings.
• The class semigroup of local one-dimensional domains
• On the two generator problem for the ideals of a one-dimensional ring
• Propinquity of one-dimensional Gorenstein rings
• The Krull intersection theorem. II
• Noetherian stable domains
• Stable rings
• Two-generated ideals and representations of Abelian groups over valuation rings
• 1-dimensional Cohen-Macaulay rings
• Divisible modules and localization
• On the ubiquity of Gorenstein rings
• Generic formal fibers and analytically ramified stable rings
• Finitely Stable Rings
• One-dimensional bad Noetherian domains
• The ratliff-rush ideals in a noetherian ring
• On the Number of Generators of Powers of an Ideal
• The integral closure of a noetherian ring. II
• Finite generation of powers of ideals
• ON THE STRUCTURE OF STABLE DOMAINS
• Stable Ideals and Arf Rings
• ON QUASI-BASS ORDERS
• Stable rings and a problem of Bass
• On the Structure and Ideal Theory of Complete Local Rings
• ALGEBRAIC ENTROPY OF ENDOMORPHISMS OVER LOCAL ONE-DIMENSIONAL DOMAINS

This page was built for publication: One-dimensional stable rings