MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS
The intriguing properties of modules over discrete valuation domain have been discussed in various studies, one of which is that the multiplication module over a discrete valuation domain is indecomposable. From this unique property, a classification of weak and pure multiplication modules over d...
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id-itb.:797572024-01-15T14:17:51ZMODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS Nurhalimah, Luthfia Indonesia Theses Discrete Valuation Domain, Dedekind Domain, Multiplication Module, Pure Submodule. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/79757 The intriguing properties of modules over discrete valuation domain have been discussed in various studies, one of which is that the multiplication module over a discrete valuation domain is indecomposable. From this unique property, a classification of weak and pure multiplication modules over discrete valuation domain is derived. On the other hand, a DVR is the localization of a Dedekind domain. With this connection weak multiplication modules over Dedekind domain have been classified. In this thesis we examine the characteristics of discrete valuation domain and the properties of pure multiplication modules over discrete valuation domain, which collectively contribute to the properties of pure multiplication modules over Dedekind domain. text |
| institution |
Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
| continent |
Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
The intriguing properties of modules over discrete valuation domain have been
discussed in various studies, one of which is that the multiplication module over
a discrete valuation domain is indecomposable. From this unique property, a classification
of weak and pure multiplication modules over discrete valuation domain
is derived. On the other hand, a DVR is the localization of a Dedekind domain.
With this connection weak multiplication modules over Dedekind domain have been
classified. In this thesis we examine the characteristics of discrete valuation domain
and the properties of pure multiplication modules over discrete valuation domain,
which collectively contribute to the properties of pure multiplication modules over
Dedekind domain. |
| format |
Theses |
| author |
Nurhalimah, Luthfia |
| spellingShingle |
Nurhalimah, Luthfia MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| author_facet |
Nurhalimah, Luthfia |
| author_sort |
Nurhalimah, Luthfia |
| title |
MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| title_short |
MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| title_full |
MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| title_fullStr |
MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| title_full_unstemmed |
MODUL MULTIPLIKASI MURNI ATAS DAERAH DEDEKINS |
| title_sort |
modul multiplikasi murni atas daerah dedekins |
| url |
https://digilib.itb.ac.id/gdl/view/79757 |
| _version_ |
1822281404330803200 |