A finitely generated module C over a commutative noetherian ring R is semidualizing if
HomR (C, C)∼= R and Exti R (C, C)= 0 for all i⩾ 1. For certain local Cohen-Macaulay rings …

A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom
R (C, C)≅ R and for all i≥ 1. For certain local Cohen–Macaulay rings (R, 𝔪), we verify the …

Let R be a commutative noetherian local ring. A finitely generated R-module C is
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …

A semidualizing module is a generalization of Grothendieck's dualizing module. For a local
Cohen-Macaulay ring $ R $, the ring itself and its canonical module are always realized as …

Inspired by Jorgensen et al., it is proved that if a Cohen-Macaulay local ring R with dualizing
module admits a suitable chain of semidualizing R-modules of length n, then R≅ Q/(I₁+...+ …

We study the duality for maximal Cohen-Macaulay modules (MCM modules for short) over
Cohen-Macaulay local rings. We characterize (low dimensional) rings over which any MCM …

Let R be a Cohen–Macaulay local ring. We prove that the n th syzygy module of a maximal
Cohen–Macaulay R-module cannot have a semidualizing direct summand for every n≥ 1 …

Let (R, m) be a local ring and C be a semidualizing module such that C≅ Hom R (M, R) for
some finitely generated R-module M. We study some properties of M and C. It is shown that …

Let R be a commutative local Noetherian ring. We prove that the existence of a chain of
semidualizing R-complexes of length. d C 1/yields a degree-d polynomial lower bound for …

Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …