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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 王藹農 | |
dc.contributor.author | KUO-HSIN WANG | en |
dc.contributor.author | 王國鑫 | zh_TW |
dc.date.accessioned | 2021-05-12T09:35:39Z | - |
dc.date.available | 2018-03-02 | |
dc.date.available | 2021-05-12T09:35:39Z | - |
dc.date.copyright | 2018-03-02 | |
dc.date.issued | 2018 | |
dc.date.submitted | 2018-02-08 | |
dc.identifier.citation | [1] I.N. Herstein, Noncommutative rings, Fifth Printing(2005) p.1-p.38.
[2] J. Krempa, Logical connections among some open problems concerning nil rings, Fund. Math. 76(1972), 121-130. [3] S.A. Amitsur, Radicals of polynomial rings, Canad. J. Math. 8(1956), 355-361. [4] John C. McConnell, James Christopher Robson, Lance W. Small, Noncommutative Noetherian rings (2001). [5] E. R. Puczylowski, A. Smoktunowicz, On maximal ideals and the brow-McCoy radical of polynomial rings, Comm. Algebra 26(1998) 2473-2482. [6] A. Smoktunowicz, Polynomial rings over nil rings need not be nil. J. Algebra 233(2000), no. 2, p. 427-436. [7]M. Chebotar, W.-F. Ke, P.-H. Lee and E. R. Puczylowski, On polynomial rings over nil rings in several variables and the central closure of prime nil rings. Israel Journal of Mathematics. p.1-14(2017) | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/handle/123456789/1291 | - |
dc.description.abstract | There are three parts of this paper.
The first part we give an introduction of Köthe Conjecture, and list some properties of Jacobson radical. The second part we go through some results of Krempa, to see some equivalent statements of our conjecture. Finally, we will see some related topics of Köthe Conjecture. In this paper, the word 'ring' always means an associative ring, but may not have an identity. | en |
dc.description.provenance | Made available in DSpace on 2021-05-12T09:35:39Z (GMT). No. of bitstreams: 1 ntu-107-R03221025-1.pdf: 2173323 bytes, checksum: 5a7768d294b7251a82845ad4dfc526ce (MD5) Previous issue date: 2018 | en |
dc.description.tableofcontents | Contents
口試委員審定書 致謝…………………………………………………………………………………………………………… i 中文摘要……………………………………………………………………………………………………. ii Abstract…………………………………………………………………………………………………….. iii Contents……………………………………………………………………………………………………. iv (一) Introduction………………………………………………………………………………………. 1 (二) Main Theorem…………………………………………………………………………………… 5 (三) Related Topics…………………………………………………………………………………… 13 References………………………………………………………………………………………………… 26 Appendix………………………………………………………………………………………………….. 27 | |
dc.title | 關於Köthe Conjecture與其相關結果 | zh_TW |
dc.title | A Survey on Köthe Conjecture and related topics | en |
dc.type | Thesis | |
dc.date.schoolyear | 106-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 謝春忠,陳其誠 | |
dc.subject.keyword | 代數, | zh_TW |
dc.subject.keyword | Kothe Conjecture, | en |
dc.relation.page | 30 | |
dc.identifier.doi | 10.6342/NTU201800361 | |
dc.rights.note | 同意授權(全球公開) | |
dc.date.accepted | 2018-02-08 | |
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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