\({\mathcal {S}}\)-minimaxness and local cohomology modules (Q1645352)

Let \(R\) be a commutative Noetherian ring and let \(I\) be an ideal of \(R\). Let \(M\) be a finitely generated \(R\)-module and \(S\) a Serre subcategory of the category of \(R\)-modules. In the paper under review the author introduces the concept of \(S\)-minimax \(R\)-modules. Then he gives a result on the set of associated primes of the local cohomology module \(H^n_I(M)\) in the case that the modules \(H^i_I(M)\) are \(S\)-minimax for \(i<n\). Then he gives a result on the the infimum integer \(i\) with \(H^i_I(M)\) is not \(S\)-minimax.