Characterizing certain semidualizing complexes via their Betti and Bass numbers

DOI10.1080/00927872.2022.2032727zbMath1492.13014arXiv2103.15531OpenAlexW3147315778MaRDI QIDQ5080222

Kosar Abolfath Beigi, Kamran Divaani-Aazar, Massoud Tousi

Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15531

zbMATH Keywords

dualizing complexCohen-Macaulay complexsemidualizing complexamplitude of a complexbass numbers of a complexBetti numbers of a complextype of a complex

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Derived categories and commutative rings (13D09)

Cites Work

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• The derived category analogue of the Hartshorne-Lichtenbaum vanishing theorem
• Homological dimensions of unbounded complexes
• Gorenstein dimensions
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the ubiquity of Gorenstein rings
• Semi-dualizing complexes and their Auslander categories
• Complete Local Domains of Type Two are Cohen-Macaulay
• Growth in the minimal injective resolution of a local ring
• MAPS IN MINIMAL INJECTIVE RESOLUTIONS OF MODULES
• Rings of Type 1 are Gorenstein
• Isomorphims between complexes with applications to the homological theory of modules.
• On the $\mu^i$ in a minimal injective resolution II.
• Annihilating complexes of modules