Essentially \(R\)-injective module. (Chinese. English summary) Zbl 1144.16304
Summary: The concept of essentially \(R\)-injective module is introduced and the author obtains some results on essentially \(R\)-injective modules. Moreover, a von Neumann regular ring is characterized by essentially \(R\)-injective modules.
MSC:
16D50 | Injective modules, self-injective associative rings |
16E50 | von Neumann regular rings and generalizations (associative algebraic aspects) |
16E10 | Homological dimension in associative algebras |