Quasidualizing Modules

Details Quasidualizing Modules Quasidualizing Modules

2012-02-03

arxiv.org/abs/1202.0745v1

Mathematics

Commutative Algebra

Scientific paper

We introduce and study "quasidualizing" modules. An artinian R-module T is quasidualizing if the homothety map \hat R\rightarrow Hom(T,T) is an isomorphism and Ext_R^i(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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