The reduction number of canonical ideals
From MaRDI portal
Publication:5097401
DOI10.1080/00927872.2022.2069790zbMath1495.13036arXiv2007.00377OpenAlexW4228998654MaRDI QIDQ5097401
Publication date: 23 August 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00377
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Extension theory of commutative rings (13B02)
Related Items
Graded filtrations and ideals of reduction number 2, When are trace ideals finite?, The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one
Cites Work
- Unnamed Item
- Almost Gorenstein rings
- Trace ideals and centers of endomorphism rings of modules over commutative rings
- Asymptotic prime divisors
- Idealization of a module
- Prestable ideals
- On graded rings. I
- One-dimensional almost Gorenstein rings
- Sally modules of canonical ideals in dimension one and 2-AGL rings
- Nearly Gorenstein vs almost Gorenstein affine monomial curves
- Trace ideals of canonical modules, annihilators of Ext modules, and classes of rings close to being Gorenstein
- Almost Gorenstein rings - towards a theory of higher dimension
- Residually faithful modules and the Cohen-Macaulay type of idealizations
- Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
- The trace of the canonical module
- Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
- When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring?
- When is $R \ltimes I$ an almost Gorenstein local ring?
- Almost canonical ideals and GAS numerical semigroups
- Stable Ideals and Arf Rings
- The Converse to a Theorem of Sharp on Gorenstein Modules
