Cofinitely injective and projective modules

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projec- tive modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submod- ule of N is a direct summand. This is also true for cofinitely pro- jective modules. Let M be a nonzero R-module. If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then RadM $neq$ M.

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