AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING
This thesis deals with the characterization of a Dedekind prime ring which related to hereditary Noetherian prime (HNP) ring. A Dedekind prime ring can be viewed as a generalization of a Dedekind domain. It is shown that a ring R is Dedekind if only if R is an HNP ring. The above property is general...
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| Institution: | Institut Teknologi Bandung |
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id-itb.:163342017-09-27T14:41:42ZAN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING (NIM : 20110015), MAHMUDI Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/16334 This thesis deals with the characterization of a Dedekind prime ring which related to hereditary Noetherian prime (HNP) ring. A Dedekind prime ring can be viewed as a generalization of a Dedekind domain. It is shown that a ring R is Dedekind if only if R is an HNP ring. The above property is generalized to an arbitrary ring, included a noncommutative ring. It is also shown that a ring R is a Dedekind prime ring if only if R is an HNP ring and is a maximal order. This result is the main theorem in this thesis. text |
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Indonesia Indonesia |
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This thesis deals with the characterization of a Dedekind prime ring which related to hereditary Noetherian prime (HNP) ring. A Dedekind prime ring can be viewed as a generalization of a Dedekind domain. It is shown that a ring R is Dedekind if only if R is an HNP ring. The above property is generalized to an arbitrary ring, included a noncommutative ring. It is also shown that a ring R is a Dedekind prime ring if only if R is an HNP ring and is a maximal order. This result is the main theorem in this thesis. |
| format |
Theses |
| author |
(NIM : 20110015), MAHMUDI |
| spellingShingle |
(NIM : 20110015), MAHMUDI AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| author_facet |
(NIM : 20110015), MAHMUDI |
| author_sort |
(NIM : 20110015), MAHMUDI |
| title |
AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| title_short |
AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| title_full |
AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| title_fullStr |
AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| title_full_unstemmed |
AN INTERCONECTION BETWEEN A DEDEKIND PRIME RING AND AN HNP RING |
| title_sort |
interconection between a dedekind prime ring and an hnp ring |
| url |
https://digilib.itb.ac.id/gdl/view/16334 |
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1820745346810118144 |