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Generalizations of von Neumann regular rings, PP rings, and Baer rings
Lixin MAO
Front. Math. China. 2016, 11 (2): 377-400.
https://doi.org/10.1007/s11464-016-0523-1
We introduce the notions of IDS modules, IP modules, and Baer* modules, which are new generalizations of von Neumann regular rings, PPrings, 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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