ABSOLUTE CO-SUPPLEMENT AND ABSOLUTE CO-COCLOSED MODULES

Abstract

A module M is called an absolute co-coclosed (absolute co-supplement)module if whenever M ∼= T /X the submodule X of T is a coclosed (supplement) submodule of T .are absolute co-coclosed (absolute co-supplement) are precisely determined. We also investigate the rings whose (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

ABSOLUTE CO-SUPPLEMENT AND ABSOLUTE CO-COCLOSED MODULES

Abstract

References

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