On the freeness of dual semidualizing modules

DOI10.1080/00927872.2021.1950747zbMath1484.13020OpenAlexW4214574181MaRDI QIDQ5027482

Abdoljavad Taherizadeh, Mohammad Bagheri

Publication date: 4 February 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1950747

zbMATH Keywords

semidualizing modulesdualizing modulesAuslander classbass class

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Cites Work

• Relations between semidualizing complexes
• Gorenstein dimensions
• Hom and Ext, revisited
• Linkage of modules and the Serre conditions
• Auslander-Reiten conjecture and Auslander-Reiten duality
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa
• Multiplicities of Semidualizing Modules
• Gorenstein Modules and Related Modules.
• Homological aspects of semidualizing modules
• On the Auslander–Reiten conjecture for Cohen–Macaulay local rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item