Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Cofinitely injective and projective modules

Cofinitely injective and projective modules

C. NEBİYEV, A. PANCAR

Sayfa
171–182
DOI
—

Abstract

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.