ABSOLUTE CO-SUPPLEMENT AND ABSOLUTE CO-COCLOSED MODULES

Authors : Derya Keskin TÜTÜNCÜ, Sultan Eylem TOKSOY

Pages : 67-79

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Publication Date : 2013-01-01

Article Type : Research Paper

Abstract :A module M is called an absolute co-coclosed insert ignore into journalissuearticles values(absolute co-supplement);module if whenever M ∼= T /X the submodule X of T is a coclosed insert ignore into journalissuearticles values(supplement); submodule of T .are absolute co-coclosed insert ignore into journalissuearticles values(absolute co-supplement); are precisely determined. We also investigate the rings whose insert ignore into journalissuearticles values(finitely 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
Keywords : Absolute co supplement co coclosed, module, Supplement coclosed, submodule, 2000 AMS Classification Primary 16 D 10 Secondary 06 C 05