Generalizations of von Neumann regular rings, PP rings, and Baer rings

L Mao - Frontiers of Mathematics in China, 2016 - Springer
We introduce the notions of IDS modules, IP modules, and Baer* modules, which are new
generalizations of von Neumann regular rings, PP rings, and Baer rings, respectively, in a
general module theoretic setting. We obtain some characterizations and properties of IDS
modules, IP modules and Baer* modules. Some important classes of rings are characterized
in terms of IDS modules, IP modules, and Baer* modules.
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