论文信息 - COFINITELY INJECTIVE AND PROJECTIVE MODULES

COFINITELY INJECTIVE AND PROJECTIVE MODULES

In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projective modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submodule of N is a direct summand. This is also true for cofinitely projective modules. Let M be a nonzero R-module. If every cofinitely M -projective (M -injective) module is M -projective (M -injective) then RadM 6= M .

C. Nebiyev | A. Pancar

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