On homological dimensions
By A. Gerko. 2001
76 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9aae6c24cc05807a286eae09b15821db1ab51863
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- D. White
- Tirdad Sharif
- Sean Sather-Wagstaff
- Ryo Takahashi
- Oana Veliche
- Henrik Holm
- Zhaoyong Huang
- L. Christensen
In Geometry and Topology
- D. White
- Tirdad Sharif
- Sean Sather-Wagstaff
- Ryo Takahashi
- Oana Veliche
- Henrik Holm
- Zhaoyong Huang
- L. Christensen
Citations in the corpus
- Tate cohomology with respect to semidualizing modules (2009, background): “(The category X was studied by Gerko [10].”
- Stability of Gorenstein categories (2007, background): “Gerko [ 12 ] introduced our final subcategory of interest.”
- Homological invariants associated to semi-dualizing bimodules (2005, unknown): “Note that GC•- dimM• (in this paper) is the same as G-dimC•M• in [5] and GC• - dimM• in [10].”
- Classifying thick subcategories of the stable category of Cohen-Macaulay modules (2009, background): “[28]) coincide with H-dimR where H is regular, Gorenstein and Cohen-Macaulay, respectively.”
- Gorenstein projective dimension for complexes (2004, background): “More recently, several dimensions have been defined over commutative noetherian local rings: complete intersection dimension by Avramov, Gasharov and Peeva [5], polynomial complete intersection dimension by Gerko [17], upper Gorenstein projective dimension by Veliche [24] and Cohen-Macaulay dimensio”