On self-orthogonal modules in Iwanaga-Gorenstein rings (Q6580062)

Let \(A\) be an Iwanaga-Gorenstein ring. \textit{H. Enomoto} [``Maximal self-orthogonal modules and a new generalization of tilting modules'', Preprint, \url{arXiv:2301.13498}] conjectured that a sel-orthogonal \(A\)-modules has finite projective dimension. In the paper under review, the author proves this conjecture for algebra \(A\) having the property that every indecomposable non-projective maximal Cohen-Macaulay module is periodic. This answers a question of Enomoto and shows the conjecture for monomial quiver algebras and hypersurface rings.