GENERALIZATIONS OF T-EXTENDING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES Asgari, Shadi; Haghany, Ahmad;
The concepts of t-extending and t-Baer for modules are generalized to those of FI-t-extending and FI-t-Baer respectively. These are also generalizations of FI-extending and nonsingular quasi-Baer properties respectively and they are inherited by direct summands. We shall establish a close connection between the properties of FI-t-extending and FI-t-Baer, and give a characterization of FI-t-extending modules relative to an annihilator condition.
nonsingular and -torsion modules;t-closed submodules;FIextending and FI-t-extending modules;quasi-Baer and FI-t-Baer modules;