(Weak) Gorenstein global dimension of semiartinian rings
Summary: We prove that if \(R\) is a semiartinian commutative ring, the Gorenstein global dimension of \(R\) equals the supremum of the Gorenstein projective and injective dimensions of simple \(R\)-modules, and the weak Gorenstein global dimension of \(R\) equals the supremum of the Gorenstein flat dimensions of simple \(R\)-modules.
scientific article; zbMATH DE number 5931118