[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.3.503

GENERALIZATIONS OF T-EXTENDING MODULES RELATIVE TO FULLY INVARIANT SUBMODULES

Asgari, Shadi (Department of Mathematical Sciences Isfahan University of Technology, School of Mathematics Institute for research in Fundamental Sciences (IPM))
Haghany, Ahmad (Department of Mathematical Sciences Isfahan University of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 503-514 More about this Journal

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 $Z_2$ -torsion modules; t-closed submodules; FIextending and FI-t-extending modules; quasi-Baer and FI-t-Baer modules;

Citations & Related Records

(Related Records In Web of Science)

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