DOI: https://doi.org/10.14710/jfma.v3i1.7672

KARAKTERISASI MODUL CYCLICALLY PURE (CP)-INJEKTIF

*Nia Yulianti  -  Sekolah Tinggi Sandi Negara, Indonesia
Hanni Garminia Y  -  Institut Teknologi Bandung, Indonesia

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Abstract

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/I
modul 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.

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Keywords: exact sequence, CP-injective, essensial extension, direct summand, injective module

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : ID
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