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It is well known that every Euclidean domain is principal ideal domain. Every principal ideal domain is unique factorization domain; its converse is not true either. One example of unique factorization domain which is not principal ideal domain is Z[x], that is the polynomial ring in one variable ov...

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Main Author: (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/16144
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:16144
spelling id-itb.:161442017-09-27T11:43:11Z#TITLE_ALTERNATIVE# (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/16144 It is well known that every Euclidean domain is principal ideal domain. Every principal ideal domain is unique factorization domain; its converse is not true either. One example of unique factorization domain which is not principal ideal domain is Z[x], that is the polynomial ring in one variable over the integers. In this final project, we will give necessary and sufficient conditions for an integral domain to be a principal ideal domain. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description It is well known that every Euclidean domain is principal ideal domain. Every principal ideal domain is unique factorization domain; its converse is not true either. One example of unique factorization domain which is not principal ideal domain is Z[x], that is the polynomial ring in one variable over the integers. In this final project, we will give necessary and sufficient conditions for an integral domain to be a principal ideal domain.
format Final Project
author (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO
spellingShingle (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO
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author_facet (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO
author_sort (NIM : 10106095); Pembimbing Tugas Akhir : Prof. Dr. Irawati, IWANTO
title #TITLE_ALTERNATIVE#
title_short #TITLE_ALTERNATIVE#
title_full #TITLE_ALTERNATIVE#
title_fullStr #TITLE_ALTERNATIVE#
title_full_unstemmed #TITLE_ALTERNATIVE#
title_sort #title_alternative#
url https://digilib.itb.ac.id/gdl/view/16144
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