The T-extending condition relative to projection invariant submodules

摘要

In this article, we investigate t-extending and t-Baer modules relative to projection invariant submodules. We introduce pi-t-extending and pi-t-Baer modules as a proper generalization of t-extending and t-Baer modules, respectively. Moreover, we give connections between pi-t-extending and pi-t-Baer modules. To clarify the matter, we give some examples.