On (co)pure Baer injective modules
For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending on the class Q, this concept is both a dualization and a generalization of pure Baer injectivity. We show that every module can be embedded as Q-copure submodule of a Q-copure Baer injective module. Certain types of rings are characterized using properties of Q-copure Baer injective modules. For example a ring R is Q-coregular if and only if every Q-copure Baer injective R-module is injective.
2019 ◽
Vol 19
(03)
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pp. 2050050
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2008 ◽
Vol 2008
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pp. 1-7
2005 ◽
Vol 2005
(5)
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pp. 747-754
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2012 ◽
Vol 05
(04)
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pp. 1250053
2003 ◽
Vol 40
(1-2)
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pp. 33-40
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