سعید باقری (بازنشسته)

‎We study an $R$-module $M$ in which every finitely generated submodule of $M$ is a kernel of an endomorphism of $M$‎. ‎Such modules are called Co-epi-finite-retractable (CEFR)‎. ‎We also consider CEFR condition on the injective hull of simple modules‎, ‎submodules and factors of a CEFR module and direct sum of CEFR modules‎. ‎Among other results‎, ‎we prove that the injective hull of a simple module over a commutative Noetherian ring‎, ‎is uniserial if and only if it is CEFR‎. ‎We investigate modules over a principal ideal ring‎, ‎and‎ ‎show that all finitely generated torsion modules over a principal ideal domain are CEFR‎. ‎Also‎, ‎we show that every module over a commutative K\"othe ring is CEFR‎. ‎We also observe that a ring $R$ is left pseudo morphic if and only if it is CEFR as a left $R$-module and we obtain some new properties of left pseudo morphic rings‎.