Quasidualizing modules
Copyright policy )Quasidualizing modules
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.
- Department of Mathematical Sciences Russian Federation
artinian, 13E10, Complete rings, completion, semidualizing, Homological functors on modules of commutative rings (Tor, Ext, etc.), noetherian, 13J10, tensor product, 13D07, 13E10, 13J10, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Quasidualizing, matlis duality, FOS: Mathematics, 13D07, Hom, Commutative Artinian rings and modules, finite-dimensional algebras, quasidualizing, Matlis duality
artinian, 13E10, Complete rings, completion, semidualizing, Homological functors on modules of commutative rings (Tor, Ext, etc.), noetherian, 13J10, tensor product, 13D07, 13E10, 13J10, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Quasidualizing, matlis duality, FOS: Mathematics, 13D07, Hom, Commutative Artinian rings and modules, finite-dimensional algebras, quasidualizing, Matlis duality
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