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Abstract
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.
Keywords
IDS Module
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IP module
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Baer∗ module
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von Neumann regular ring
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PP ring
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Baer ring
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Lixin MAO.
Generalizations of von Neumann regular rings, PP rings, and Baer rings.
Front. Math. China, 2016, 11(2): 377-400 DOI:10.1007/s11464-016-0523-1
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