Tate cohomology of Gorenstein flat modules with respect to semidualizing modules (Q521292)

The authors study Tate cohomology of modules over a commutative Noetherian ring with respect to semidualizing modules. Some interesting results are:{\parindent=0.7cm\begin{itemize}\item[--] The class of modules admitting a Tate \(\mathcal F_C\) resolution is exactly the class of modules in \(\mathcal B_C\) with finite \(\mathcal{GF}_C\)-projective dimension.\item[--] There is a tight interaction between the corresponding relative cohomology and the Tate cohomology of modules.\item[--] Some new characterizations of modules with finite \(\mathcal F_C\)-projective dimension are given. \end{itemize}}