Kara, Yeliz2024-10-302024-10-302022-01-011310-1331https://doi.org/10.7546/CRABS.2022.06.01https://proceedings.bas.bg/index.php/cr/article/view/92https://hdl.handle.net/11452/47164We introduce the notion of weak pi-extending modules which is a proper generalization of pi-extending and weak CS-modules. Several characterizations and connections between weak pi-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.eninfo:eu-repo/semantics/openAccessExtending moduleProjection invariant submoduleExchange propertyScience & technologyMultidisciplinary sciencesArticle00082781940000178579475610.7546/CRABS.2022.06.01