Strongly C_11-Condition Modules and Strongly T_11-Type Modules
C_11-condition
strongly C_11-condition modules
T_11-type modules strongly T_11-type modules
t-semisimple modules
strongly t-semisimple modules
strongly extending modules
t-extending modules and strongly t-extending modules.
In this paper, we introduced module that satisfying strongly -condition modules and strongly -type modules as generalizations of t-extending. A module is said strongly -condition if for every submodule of has a complement which is fully invariant direct summand. A module is said to be strongly -type modules if every t-closed submodule has a complement which is a fully invariant direct summand. Many characterizations for modules with strongly -condition for strongly -type module are given. Also many connections between these types of module and some related types of modules are investigated.
