شماره ركورد كنفرانس :
5263
عنوان مقاله :
CO-EPI-FINITE-RETRACTABLE RING AND MODULE
پديدآورندگان :
TOLOOEI YASER Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149-67346, Iran. , Neishabouri Pegah Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149-67346, Iran.
كليدواژه :
co , f_x000C_nite , retractable module , co , _x000C_epi , fnite , retractable , CEFR ring
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
Recall that an R-module M is said to be co-epi-finite-retractable (simply CEFR) whenever for every finitely generated submodule N of M, the factor module M/N can be embedded in M. We find conditions under which free modules are CEFR. We show that, if RM is both a CEFR and endoregular module, then it is a regular module. We also examine rings in which every R_x0002_module is CEFR, referred to as CEFR rings. We investigate, every R-module is CEFR if and only if every CFR module is a CEFR module.
