Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Commutative Algebra

arXiv:math/0701071 (math)
[Submitted on 2 Jan 2007]

Title:Adjoints of ideals

Authors:Reinhold Huebl, Irena Swanson
View PDF
Abstract: We characterize ideals whose adjoints are determined by their Rees valuations. We generalize the notion of a regular system of parameters, and prove that for ideals generated by monomials in such elements, the integral closure and adjoints are generated by monomials. We prove that the adjoints of such ideals and of all ideals in two-dimensional regular local rings are determined by their Rees valuations. We prove special cases of subadditivity of adjoints.
Subjects: Commutative Algebra (math.AC)
MSC classes: 13A18; 13A30; 13B22; 13H05
Cite as: arXiv:math/0701071 [math.AC]
  (or arXiv:math/0701071v1 [math.AC] for this version)
  https://doi.org/10.48550/arXiv.math/0701071

Submission history

From: Irena Swanson [view email]
[v1] Tue, 2 Jan 2007 19:43:18 UTC (17 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.AC
< prev   |   next >
new | recent | 2007-01

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)