Gradings of finite support. Application to injective objects
The relationship between injectivity in \(R\)-gr and \(R\)-mod is studied, where \(R\) is a group-graded ring. The second author proved that if \(R\) has finite support, then gr-injective modules with finite support are injective in \(R\)-mod. This result is generalized by showing that the condition that \(R\) have finite support is not necessary. It is also shown that the theory of graded rings and modules with finite support does not coincide with the theory of finite group gradings.
graded rings and modules with finite support
scientific article; zbMATH DE number 908488
scientific article