Homological dimensions over non-commutative semi-local rings
Various well-known results about the homological dimensions of commutative Noetherian semilocal rings are extended to a noncommutative setting. Typical hypothesis: \(R\) is left coherent and semilocal. Typical conclusion: The weak global dimension of \(R\) equals the weak right dimension of \(R/J(R)\) (as \(R\)-module) equals the left injective dimensions of \(R/J(R)\) (as \(R\)-module).
scientific article; zbMATH DE number 701271