Open AccessKARAKTERISASI MODUL CYCLICALLY PURE (CP)-INJEKTIF
Author(s) -
Nia Yulianti,
Hanni Garminia Y
Publication year - 2020
Publication title -
journal of fundamental mathematics and applications
Language(s) - English
Resource type - Journals
eISSN - 2621-6035
pISSN - 2621-6019
DOI - 10.14710/jfma.v3i1.7672
Subject(s) - injective function , injective module , extension (predicate logic) , module , mathematics , ideal (ethics) , pure mathematics , divisible group , characterization (materials science) , commutative property , commutative ring , discrete mathematics , physics , computer science , programming language , g module , philosophy , abelian group , epistemology , optics , elementary abelian group
This research deals with the structure of cyclically pure injective modules over a commutative ring R. If I be an ideal of R, proved that any CP-injective R/Imodul is also CP-injective as an R-module. The main result of research is the existance of CP-injective R-module if there is an R-module. More over, we deal characterization of CP-injective module which is related to proper essential ctclically pure extension. It is shown that R-modul D is cyclically pure injective if and only if D has no proper essential cyclically pure extension.