Abstract:
This study presents a semi-quasi Hamsher module that each non-zero Artinian submodule has a semi-maximal submodule, which is a generalized of Hamsher module. And semi-quasi Loewy module that each non-zero Noetherian submodule has a semi-maximal submodule, which is a generalized of Loewy module. This article introduces some properties of semi-quasi Hamsher and semi-quasi Loewy modules .
Keywords: semi-quasi Hamsher module, semi-quasi Loewy module, semi-maximal submodule and semi-socle submodule .