#TITLE_ALTERNATIVE#
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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| 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 |
| Summary: | 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. |
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