質環上的喬登τ-導算

Jheng-Huei Lin; 林政輝

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完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.advisor	李秋坤(Tsiu-Kwen Lee)
dc.contributor.author	Jheng-Huei Lin	en
dc.contributor.author	林政輝	zh_TW
dc.date.accessioned	2021-06-16T08:07:45Z	-
dc.date.available	2014-07-22
dc.date.copyright	2014-07-22
dc.date.issued	2014
dc.date.submitted	2014-06-08
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dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/58185	-
dc.description.abstract	我們將研究質環上喬登τ-導算的結構。明確地說，令R是一個非交換的質環，Qms(R)是其雙邊極大商環，且τ為R上頭的一個反自同構。令δ:R→Qms(R) 為一個喬登τ-導算。我們證明存在一個a ∈ Qms(R) 使得對於所有 x ∈ R 都有δ(x)=ax^τ-xa 如果以下任一條件成立： (一) R不是GPI環； (二) R是一個可除環除了char R ≠=2 且 dim_{C} R=4； (三) R是中心封閉的GPI環且特徵不為二； (四) R是PI環且特徵不等於二。	zh_TW
dc.description.abstract	In the thesis we study the structure of Jordan τ-derivations of prime rings. Precisely, let R be a noncommutative prime ring with Qms(R) the maximal symmetric ring of quotients of R and let τ be an anti-automorphism of R. Let δ:R→Qms(R) be a Jordan τ-derivation. We show that there exists a ∈ Qms(R) such that δ(x) = ax^τ-xa for all x ∈ R if one of the following conditions holds: (1) R is not a GPI-ring. (2) R is a division ring except when charR =/= 2 and dim_{C} R = 4. (3) R is a centrally closed GPI-ring with charR =/= 2. (4) R is a PI-ring with charR =/= 2.	en
dc.description.provenance	Made available in DSpace on 2021-06-16T08:07:45Z (GMT). No. of bitstreams: 1 ntu-103-R01221012-1.pdf: 873894 bytes, checksum: cd10a90a7747304420694d9cd1cea585 (MD5) Previous issue date: 2014	en
dc.description.tableofcontents	口試委員會審定書 ....................i 誌謝 ....................ii 中文摘要 ....................iii 英文摘要 ....................iv 目錄 ....................v §0. Introduction ....................1 §1. Preliminaries ....................2 §2. Main Theorems ....................5 References ....................14
dc.language.iso	en
dc.subject	泛函恆等式	zh_TW
dc.subject	雙邊極大商環	zh_TW
dc.subject	喬登τ-導算	zh_TW
dc.subject	質環	zh_TW
dc.subject	PI	zh_TW
dc.subject	反自同構	zh_TW
dc.subject	GPI	zh_TW
dc.subject	Maximal symmetric ring of quotients	en
dc.subject	Jordan τ-derivation	en
dc.subject	Anti-automorphism	en
dc.subject	Functional identity	en
dc.subject	GPI	en
dc.subject	PI	en
dc.subject	Prime ring	en
dc.title	質環上的喬登τ-導算	zh_TW
dc.title	Jordan τ-derivations of Prime rings	en
dc.type	Thesis
dc.date.schoolyear	102-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	李白飛(Pjek-Hwee Lee),蔡援宗(Yuan-Tsung Tsai)
dc.subject.keyword	質環,喬登τ-導算,反自同構,泛函恆等式,GPI,PI,雙邊極大商環,	zh_TW
dc.subject.keyword	Prime ring,Jordan τ-derivation,Anti-automorphism,Functional identity,GPI,PI,Maximal symmetric ring of quotients,	en
dc.relation.page	15
dc.rights.note	有償授權
dc.date.accepted	2014-06-09
dc.contributor.author-college	理學院	zh_TW
dc.contributor.author-dept	數學研究所	zh_TW
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