KAITAN ANTARA SUPLEMEN SUATU MODUL DAN EKSISTENSI AMPLOP PROYEKTIF MODUL FAKTORNYA DALAM KATEGORI [M]

Abstract

Let M be an R-module and N Î s[M]. A projective module P with a superfluous epimorphism p : P ® N is called projective cover of N in s[M]. Even if there are enough projective module in s[M], a module need not have a projective cover. To get projective cover, we need supplement which do not always exist. In this paper, we will investigate relation between supplement of a module M and existence projective cover of a factor module of M.