Some Properties of ⊕-g-Supplemented Modules

[摘要] In this work ⊕−g−supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of ⊕−g−supplemented modules is also ⊕−g−supplemented. Let M be a distributive and ⊕−g−supplemented R−module. Then every factor module and homomorphic image of M are ⊕−g−supplemented. Let M be a ⊕−g−supplemented R−module with SSP property. Then every direct summand of M is ⊕−g−supplemented.

[学科分类] 数学（综合）

[关键词] Essential Submodules;Small Submodules;Supplemented Modules;g−Supplemented Modules