Tilting modules and Auslander's Gorenstein property

By Takayoshi Wakamatsu. 2004

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Abstract The notion of (generalized) tilting modules is introduced over arbitrary rings. It is shown that many results on tilting modules over Artin algebras are naturally generalized. The Auslander's Gorenstein property for tilting modules is considered over noetherian rings.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cbea872fa2217ae9af2725aa08fbfbc2f5beb9c0