IPM Calendar 
Sunday 29 November 2020   Today  
Events for day: Thursday 05 November 2020    
           11:00 - 13:00     Commutative Algebra Webinar
Generalized Cohen-Macaulayness and Foxby equivalence


Let R be a local ring and C a semidualizing module of R. We investigate the behavior of certain classes of generalized Cohen-Macaulay R-modules under the Foxby equivalence between the Auslander and Bass classes with respect to C. In particular, we show that generalized Cohen-Macaulay R-modules are invariant under this equivalence and if M is a finitely generated R-module in the Auslander class with respect to C such that C ⊗R M is surjective Buchsbaum, then M is also surjective Buchsbaum
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