Quasidualizing Modules
Commutative Algebra
2012-02-06 v1
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.
Keywords
Cite
@article{arxiv.1202.0745,
title = {Quasidualizing Modules},
author = {Bethany Kubik},
journal= {arXiv preprint arXiv:1202.0745},
year = {2012}
}