Quasidualizing Modules

2012/02/03 by Bethany Kubik, Kubik, Bethany
Mathematics · #13D07 #13E10 #13J10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D07 #msc:13E10 #msc:13J10

paper · pdf · doi:10.48550/arxiv.1202.0745

arxiv created 2012/02/03 · arxiv updated 2012/02/06

Abstract

We introduce and study "quasidualizing" modules. An artinian R-module T is quasidualizing if the homothety map R→ Hom(T,T) is an isomorphism and Ext_Rⁱ(T,T)=0 for each integer i>0. Quasidualizing modules are associated to semidualizing modules via Matlis duality. We investigate the associations via Matlis duality between subclasses of the Auslander class and Bass class and subclasses of derived T-reflexive modules.

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