Faithful Torsion Modules

Utami, WikaDianita (2014) Faithful Torsion Modules. Sarjana thesis, Universitas Brawijaya.

Abstract

Modul atas ring dikatakan faithful torsion module jika memenuhi syarat modul faithful dan modul torsi. Skripsi ini membahas sifat-sifat modul torsi, sifat ring dalam modul torsi dan sifat-sifat faithful torsion module. Suatu modul M atas ring R disebut modul torsi jika untuk setiap m ∈ M , terdapat r ≠0∈ R sedemikian sehingga rM=0. Untuk suatu modul ? dikatakan modul faitfhful jika annihilator modul adalah 0. Ring ? disebut ring faithful torsion (FT) jika modul ? atas ring ? adalah faithful torsion module.

English Abstract

Module ? over ring ? is said a faithful torsion module if ? fulfill the axioms of faithful module and torsion module. This final project discusses some characteristics of torsion module, characteristic ring in the torsion module and characteristics of faithful torsion modules. A module ? over ring ? is called a torsion module if every ?∈?, there is ?≠0∈? such that ??=0. Then module ? over ring ? is said to be a faithful module if annihilator of module is 0. Ring ? is called faithful torsion (FT) ring if the module ? over ring ? is faithful torsion (FT) module.

Item Type:	Thesis (Sarjana)
Identification Number:	SKR/MIPA/2014/81/051401100
Subjects:	500 Natural sciences and mathematics > 510 Mathematics
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User:	Budi Wahyono Wahyono
Date Deposited:	13 Feb 2014 09:32
Last Modified:	13 Feb 2014 09:32
URI:	http://repository.ub.ac.id/id/eprint/154098

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