On arithmetic Macaulayfication of Noetherian rings
By T. Kawasaki. 2001
95 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ff5efdf9b97f746b188ca3a7d828d98c384ddf42
How researchers see this paper
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In Algebra and Number Theory
- S. Iyengar
- L. Christensen
- Henrik Holm
- H. Foxby
- Henning Krause
- Xiao-Wu Chen
- Sean Sather-Wagstaff
- Peter Schenzel
In Geometry and Topology
- S. Iyengar
- Henrik Holm
- L. Christensen
- H. Foxby
- Henning Krause
- Xiao-Wu Chen
- Sean Sather-Wagstaff
- Ryo Takahashi
Citations in the corpus
- Beyond totally reflexive modules and back (2008, background): “A commutative Noetherian ring has a dualizing complex D if and only if it is a homomorphic image of a Gorenstein ring of finite Krull dimension; see Kawasaki [79].”
- On formal local cohomology and connectedness (2007, background): “[16]) R possesses a dualizing complex if and only if R is the factor ring of a Gorenstein ring.”
- Acyclicity versus total acyclicity for complexes over noetherian rings (2005, background): “On the other hand, Kawasaki [13] has proved that if R has a dualizing complex, then it is a quotient of a Gorenstein ring.”