GENERALIZATIONS OF T-EXTENDING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES

Title & Authors
GENERALIZATIONS OF T-EXTENDING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES

Abstract
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.
Keywords
nonsingular and $\small{Z_2}$-torsion modules;t-closed submodules;FIextending and FI-t-extending modules;quasi-Baer and FI-t-Baer modules;
Language
English
Cited by
1.
Modules Whoset-Closed Submodules Have a Summand as a Complement, Communications in Algebra, 2014, 42, 12, 5299
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