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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