Linkage of finite \(\mathsf{G}_{C}\)-dimension modules (Q503803)

In the paper under review, the author studies further the linkage of modules. More precisely, Let \(R\) be a semiperfect commutative Noetherian ring and \(C\) a semidualizing \(R\)-module. For a horizontally linked \(R\)-module \(M\) of finite \(G_C\)-dimension, the connection of the Serre condition \((S_n)\) with the vanishing of certain relative cohomology modules of its linked module is discussed.