TY  - JOUR
TI  - Absolute co-supplement and absolute co-coclosed modules
AB  - A module M is called an absolute co-coclosed (absolute co-supplement) module if whenever M =$cong$ the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute co-coclosed (absolute co-supplement) are precisely determined. We also investigate the rings whose ( nitely generated) absolute co-supplement modules are projective. We show that a commutative domain R is a Dedekind domain if and only if every submodule of an absolute co-supplement R-module is absolute co-supplement. We also prove that the class Coclosed of all short exact sequences 0 A /B /C /0 such that A is a coclosed submodule of B is a proper class and every extension of an absolute co-coclosed module by an absolute co-coclosed module is absolute co-coclosed.
AU  - TOKSOY, Sultan Eylem
AU  - KESKİN TÜTÜNCÜ, DERYA
PY  - 2013
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 42
IS  - 1
SN  - 1303-5010
SP  - 67
EP  - 79
DB  - TRDizin
UR  - http://search/yayin/detay/147602
ER  -