A unified approach to various Gorenstein modules
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Publication:2678295
DOI10.1216/rmj.2022.52.2229OpenAlexW4313233235MaRDI QIDQ2678295
Publication date: 9 January 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-6/A-UNIFIED-APPROACH-TO-VARIOUS-GORENSTEIN-MODULES/10.1216/rmj.2022.52.2229.full
Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Categories of sets, characterizations (18B05)
Cites Work
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- Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions
- Relative tor functors for level modules with respect to a semidualizing bimodule
- AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
- Gorenstein projective dimension with respect to a semidualizing module
- \(\mathcal W\)-Gorenstein modules
- Semi-dualizing modules and related Gorenstein homological dimensions
- Ding projective modules with respect to a semidualizing bimodule.
- Foxby equivalence over associative rings.
- Gorenstein homological dimensions.
- Gorenstein injective and projective modules
- When do Foxby classes coincide with the classes of modules of finite Gorenstein dimensions?
- Proper resolutions and Gorenstein categories
- The role of w-tilting modules in relative Gorenstein (co)homology
- DC-projective dimensions, Foxby equivalence and SDC-projective modules
- WEAK AB-CONTEXT FOR FP-INJECTIVE MODULES WITH RESPECT TO SEMIDUALIZING MODULES
- Relative Gorenstein global dimension
- One-sided Gorenstein subcategories
- STRONGLY GORENSTEIN FLAT MODULES
- Weak Injective and Weak Flat Modules
- GORENSTEIN FP-INJECTIVE AND GORENSTEIN FLAT MODULES
- Foxby equivalences associated to Gorenstein categoriesš¢(š³,š“,šµ)
- $\V\W$-Gorenstein categories
- Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
- Relative homological dimensions and Tate cohomology of complexes with respect to cotorsion pairs
- DING PROJECTIVE MODULES WITH RESPECT TO A SEMIDUALIZING MODULE
- Stability of Gorenstein categories
- Relative FP-Projective Modules
- Absolutely Pure Modules
- Coherent Rings and Fp -Injective Modules
- Relative Projective and Injective Dimensions
- Relative Gorenstein dimensions