HEREDITARY DOMAIN
The aim of this work is to prove the equivalence of various characterizations of a hereditary domain. Which are the equivalence between Invertible Ideal Domain (IID), Ideal Factorization Domain (IFD), One dimensional Unique Ideal Factorization Domain (UIFD), Dedekind domain and hereditary domain. L...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/12559 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | The aim of this work is to prove the equivalence of various characterizations of a hereditary domain. Which are the equivalence between Invertible Ideal Domain (IID), Ideal Factorization Domain (IFD), One dimensional Unique Ideal Factorization Domain (UIFD), Dedekind domain and hereditary domain. Let A be a domain. Then A is hereditary if and only if A is a IID if and only if A is a IFD if and only if A is a one dimension UIFD if and only if A is Dedekind domain |
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