SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, vol.46, no.2, pp.173-183, 2022 (ESCI)
A well known generalization of the extending concept is projection invariant extending property. In this trend, a module is called 7r-extending if every projection invariant submodule is essential in a direct summand of the module. Based on an annihilator condition, dominant submodules are introduced in the literature. In this paper, we introduce and investigate projection invariant-extending property on dominant submodules of a module.