請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29906完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 朱樺(Huah Chu) | |
| dc.contributor.author | Tai-Jiun Lin | en |
| dc.contributor.author | 林泰均 | zh_TW |
| dc.date.accessioned | 2021-06-13T01:24:16Z | - |
| dc.date.available | 2007-07-26 | |
| dc.date.copyright | 2007-07-26 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-18 | |
| dc.identifier.citation | References
Ap´ery, R. (1943), “La g´eom´etrie alg´ebrique”, Bull. Soc. Math. France, 71, 46–66. Bass, H. (1962), “Injective dimension in Noetherian rings”, Trans. Amer. Math. Soc., 102, 18–29. (1963), “On the ubiquity of gorenstein rings”, Math. Zeitschrift, 82, 8–28. Chen, C.A. (2005), “Zero-dimensional gorenstein ideals”, Master Degree Thesis, Department of Mathematics, National Taiwan University. Eisenbud, D. (1996), Commutative Algebra with a View Toward Algebraic Geometry, New York: Springer Verlag. Gorenstein, D. (1952), “An arithmetic theory of adjoint plane curves”, Trans. Amer. Math. Soc., 72, 414–436. Grothendieck, A. (1956/57), “Th´eor´emes de dualit´e pour les faiceaux alg´ebriques coh´erents”, S´eminaire Bourbaki 9, 149. Huneke, C. (2002), “Hyman Bass and Ubiquity: Gorenstein Rings”, arXiv, Amer. Math. Soc., 1, math.AC/0209199. Northcott, D.G. and Rees, D. (1957), “Principal systems”, Quart. J. Math., 8, 119– 127. Samuel, P (1951), “Singularit´es des vari´et´es alg´ebriques”, Bull. Soc. Math. De France, 79, 121–129. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29906 | - |
| dc.description.abstract | 本論文中，我們算出某些情況下Gorenstein理想的生成元。我們對二項式的情況重給簡潔的証明並討論三項式的某一類情況:
x^{ rho}y_{1}^{sigma_{1}}cdots y_{s}^{sigma_{s}} z_{1}^{ tau_{1}}cdots z_{t}^{ tau_{t}}(x^{w}-y_{1}^{u_{1}} cdots y_{s}^{u_{s}}-z_{1}^{v_{1}}cdots z_{t}^{v_{t}}) 。我們只給出生成元的領導項，而整個生成元可以由證明的過程寫出。 | zh_TW |
| dc.description.abstract | In this paper, we compute generators of Gorenstein ideals in some special case. We give another proof of the binomial case and discuss a trinomial of the form
x^{ rho}y_{1}^{sigma_{1}}cdots y_{s}^{sigma_{s}} z_{1}^{ tau_{1}}cdots z_{t}^{ tau_{t}}(x^{w}-y_{1}^{u_{1}} cdots y_{s}^{u_{s}}-z_{1}^{v_{1}}cdots z_{t}^{v_{t}}) . 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 2021-06-13T01:24:16Z (GMT). No. of bitstreams: 1 ntu-96-R94221028-1.pdf: 388417 bytes, checksum: 72bdd66521b6d8bf15eb257c7cc9bf81 (MD5) Previous issue date: 2007 | en |
| dc.description.tableofcontents | 口試委員會審員書…………………………………………………i
誌謝………………………………………………………………… ii 中文摘要………………………………………………………………………iii 英文摘要………………………………………………………………………iv 第一章 Introduction…………………………………………………………1 第二章Preliminary………………………………………………………….3 第三章 Binomials………………………………………………………………5 第四章 Trinomials……………………………………………………………11 參考文獻……………………………………………………………………..47 | |
| dc.language.iso | en | |
| dc.subject | Gorenstein | zh_TW |
| dc.title | 論Gorenstein理想 | zh_TW |
| dc.title | On Gorenstein Ideals | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳永秋,陳榮凱,胡守仁,洪有情 | |
| dc.subject.keyword | Gorenstein, | zh_TW |
| dc.relation.page | 47 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-07-18 | |
| 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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