T-Radical and Strongly T-Radical Supplemented Modules

Abstract

We define (strongly) t-radical supplemented modules and study some properties of these modules. These modules lie between strongly radical supplemented and strongly ⊕-radical supplemented modules. We also study the relationship between these modules and present examples separating strongly t-radical supplemented modules, supplemented modules, and strongly ⊕-radical supplemented modules. © 2017 Springer Science+Business Media New York.