On the notion of Cohen-Macaulayness for non-Noetherian rings
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Publication:1048944
DOI10.1016/j.jalgebra.2009.06.017zbMath1193.13024arXiv0809.1228OpenAlexW2031010051MaRDI QIDQ1048944
Mohsen Asgharzadeh, Massoud Tousi
Publication date: 8 January 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.1228
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45)
Related Items (14)
APPLICATIONS OF CLOSURE OPERATIONS ON BIG COHEN–MACAULAY ALGEBRAS ⋮ Cohen-Macaulayness of amalgamated algebras ⋮ The Development of Non-Noetherian Grade and Its Applications ⋮ Cohen–Macaulayness of trivial extensions ⋮ Almost Cohen-Macaulay and almost regular algebras via almost flat extensions ⋮ Cohen-Macaulay properties under the amalgamated construction ⋮ Direct limits of Cohen-Macaulay rings ⋮ Desingularization of regular algebras ⋮ Homological properties of the perfect and absolute integral closures of noetherian domains ⋮ Height theorems and unmixedness for finitely generated algebras over zero-dimensional rings ⋮ A note on Non-Noetherian Cohen-Macaulay rings ⋮ Denoetherianizing Cohen-Macaulay rings ⋮ Embedding codimension of the space of arcs ⋮ Grade of Ideals with Respect to Torsion Theories
Cites Work
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- Almost regular sequences and the monomial conjecture
- Non-Noetherian Cohen-Macaulay rings
- On the generalized principal ideal theorem and Krull domains
- Commutative coherent rings
- Infinite integral extensions and big Cohen-Macaulay algebras
- Finite Tor dimension and failure of coherence in absolute integral closures
- Weak Bourbaki unmixed rings: a step towards non-noetherian Cohen-Macaulayness.
- Canonical elements in local cohomology modules and the direct summand conjecture
- Grave hon-noetherlehl
- Kahler Differentials and Hilbert's Fourteenth Problem for Finite Groups
- On the Depth of Local Rings of Invariants of Cyclic Groups
- Fixed rings of coherent regular rings
- On the $\mu^i$ in a minimal injective resolution II.
- Proregular sequences, local cohomology, and completion
- Grade-Sensitive Modules and Perfect Modules
- Groups Acting on Hereditary Rings
- Regularity Conditions in Nonnoetherian Rings
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
- A Theory of Grade for Commutative Rings
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