Quasidualizing modules
Let \(A\) be a commutative noetherian local ring. An \(A\)-module of finite type \(C\) is called semidualizing if the homothety homomorphism \(A \to \)Hom\(_A(C,C)\) is an isomorphism and Ext\(^{>0}_A(C,C)=0\). In this paper the Matlis duals of semidualizing modules are identified as the artinian modules \(M\) such that \(\hat{A} \to \)Hom\(_A(M,M)\) is an isomorphism and Ext\(^{>0}_A(M,M)=0\), where \(\hat{A}\) is the completion of the local ring \(A\). Some properties and variants are also explored.
scientific article; zbMATH DE number 6340274
scientific article