On Weak Projection Invariant Extending Modules
Keywords:extending module, projection invariant submodule, exchange property
We introduce the notion of weak π-extending modules which is a proper generalization of π-extending and weak CS-modules. Several characterizations and connections between weak π-extending modules and related concepts are obtained. Direct sums and direct summand properties are also provided. Moreover, we investigate when the former class has an indecomposable decomposition and exchange properties.
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LicenseCopyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences
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