A Cohen–Macaulay algebra has only finitely many semidualizing modules

DOI10.1017/S0305004108001552zbMath1153.13020arXiv0704.2734OpenAlexW2963689585WikidataQ121627436 ScholiaQ121627436MaRDI QIDQ3542107

Lars Winther Christensen, Sean K. Sather-Wagstaff

Publication date: 28 November 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2734

zbMATH Keywords

Cohen-Macaulay ringssemidualizing modules

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (6)

Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Generalization of bi-canonical degrees ⋮ Semidualizing modules and rings of invariants ⋮ Representation schemes and rigid maximal Cohen-Macaulay modules ⋮ $C$-CANONICAL MODULES ⋮ A Somewhat Gentle Introduction to Differential Graded Commutative Algebra

Cites Work

• The set of semidualizing complexes is a nontrivial metric space
• Semi-dualizing complexes and their Auslander categories
• Reflexivity and Ring Homomorphisms of Finite Flat Dimension

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