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arXiv · 1202.0745

Quasidualizing Modules

Bethany Kubik
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Abstract

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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Bethany Kubik. 2012-02-03. Quasidualizing Modules. https://arxiv.org/abs/1202.0745

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