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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/37513完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 朱樺 | |
| dc.contributor.author | Hsi-Che Wang | en |
| dc.contributor.author | 王希哲 | zh_TW |
| dc.date.accessioned | 2021-06-13T15:30:51Z | - |
| dc.date.available | 2008-07-21 | |
| dc.date.copyright | 2008-07-21 | |
| dc.date.issued | 2008 | |
| dc.date.submitted | 2008-07-15 | |
| dc.identifier.citation | [1] Ap´ery, R., La g´eom´etrie alg´ebrique. Bull. Soc. Math. France 71 (1943), 46-66.
[2] Bass, H., Injective dimension in Noetherian rings. Trans. Amer. Math. Soc. 102 (1962), 18-29. [3] Bass, H., On the ubiquity of gorenstein rings. Math. Zeitschrift 82 (1963), 8-28. [4] Chu Huah, Jow Shin-Yao, Polynomial invariants of finite unitary groups J. Algebra 302 (2006), no. 2, 686–719. [5] Chen, P.-J., Zero-dimensional Gorenstein Rings. Master Degree Thesis, Dept. of Math, NTU (2002). [6] Chen, C.-A., Zero-dimensional Gorenstein Ideals. Master Degree Thesis, Dept. of Math, NTU (2005). [7] Eisenbud, D., Commutative Algebra with a View Toward Algebraic Geometry. New York: Springer Verlag (1996). [8] Grothendieck, A., An arithmetric theory of adjoint plane curves. Trans. Amer. Math. Soc. 72 (1952), 414-436. [9] Gorenstein, D., Th´eor´emes de dualit´e pour les faiceaux alg´ebriques coh´erents. S´eminaire Bourbaki 9 (1956/57), 149. [10] Huneke, C., Hyman Bass and Ubiquity: Gorenstein Rings. Amer. Math. Soc., Providence, RI, (1999). [11] Lin, T.-J., On Gorenstein Ideal. Master Degree Thesis, Dept. of Math, NTU (2007). [12] Northcott, D.G., Rees, D., Principal systems. Quart. J. Math. 8 (1957), 119-127. [13] Samuel, P., Singularit´es des vari´et´es alg´ebriques. Bull. Soc. Math. de France 79 (1951), 121-129. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/37513 | - |
| dc.description.abstract | 本論文中，我們計算某些情況下 Gorenstein 理想的生成元。我們對於三項式的情況給了一個更簡潔的結果與證明，並且也討論一種特別的四項式形式的情況。我們只給出生成元的首項, 而整個生成元可以由證明的過程中得出。 | zh_TW |
| dc.description.abstract | In this paper, we compute the generators of Gorenstein ideals in some special case. We give a conciser result and simplified the proof of the trinomial case and discuss a quadrinomial of some form. We just give the leading terms of the generators. And the entire generators can be written out in the process of the proofs. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-13T15:30:51Z (GMT). No. of bitstreams: 1 ntu-97-R94221023-1.pdf: 1271946 bytes, checksum: 3686bc32ae6068662db727ecea603bfc (MD5) Previous issue date: 2008 | en |
| dc.description.tableofcontents | 口試委員會審定書…………………………………………………………… i
中文摘要…………………………………………………….…………………… ii 英文摘要………………………………………………………………………… iii 第一章 Introduction…………………………………………………………… 1 第二章 The Case of Trinomial ……………………………………………… 3 第三章 Some Lemmas ………..………………………………………………. 11 第四章 The Case p=1 …………………………………………………………. 17 第五章 The General case …………………………………………………… 23 參考文獻…………………………………………………………………….…… 44 | |
| dc.language.iso | en | |
| dc.subject | Gorenstein理想 | zh_TW |
| dc.title | 論Gorenstein理想的生成元 | zh_TW |
| dc.title | The Generators of Gorenstein Ideals | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 96-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳永秋,胡守仁 | |
| dc.subject.keyword | Gorenstein理想, | zh_TW |
| dc.subject.keyword | Gorenstein Ideals, | en |
| dc.relation.page | 45 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2008-07-15 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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| ntu-97-1.pdf 未授權公開取用 | 1.24 MB | Adobe PDF |
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