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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29009
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.authorSheng-ji Luoen
dc.contributor.author羅盛吉zh_TW
dc.date.accessioned2021-06-13T00:34:38Z-
dc.date.available2007-07-27
dc.date.copyright2007-07-27
dc.date.issued2007
dc.date.submitted2007-07-24
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with derivations}, Proc. Amer. Math. Soc. { f 41} (1973),
67--74.}

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``Rings with Generalized Identities', Marcel Dekker, Inc., New
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linear generalized polynomials in prime rings}, South. Asian Bull.
Math. { f 21} (1997), 215--225.}

ef[9]:{C.-L. Chuang and T.-K. Lee, {it Identities with a single
skew derivation}, J. Algebra { f 288} (1) (2005), 59--77.}

ef[10]:{B. Felzenswalb and A. Giambruno, {it A commutativity
theorem for rings with derivations}, Pacific J. Math. { f 102}
(1982), 41--45. }

ef[11]:{Y. Hirano and A. Kaya, {it On a theorem of Mayne},
Math. J. Okayama Univ. { f 25} (1983), 125--132. }

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25--32. }

ef[13]:{V.K. Kharchenko, {it Generalized identities with
automorphisms}, Algebra i Logika, { f 14}(2) (1975), 215--237.
(Engl. Transl., Algebra and Logic { f 14}(2) (1975), 132--148.)}

ef[14]:{V.K. Kharchenko and A. Z. Popov, {it skew derivation of
prime rings}, Comm. Algebra { f 20} (1992), 3321--3345. }

ef[15]:{C. Lanski, {it Differential identities, Lie ideals and
Posner's theorems}, Pacific J. Math. { f 134} (1988), 275--297.}

ef[16]:{C. Lanski, {it An Engel condition with derivation for
left ideals}, Proc. Amer. Math. Soc. { f 125} (1997), 339--345.}

ef[17]:{C. Lanski, {it Left ideals and derivations in semiprime
rings}, J. Algebra { f 277} (2004), 658--667.}

ef[18]:{T.-K. Lee, {it Left annihilators characterized by {
m
GPI}s}, Trans. Amer. Math. Soc. { f 347} (1995), 3159--3165.}

ef[19]:{T.-K. Lee, {it Derivations and centralizing mappings in
prime rings}, Taiwanese J. Math. { f 1} (1997), 333--342.}

ef[20]:{T.-K. Lee, {it $sig$-commuting mappings in semiprime
rings}, Comm. Algebra { f 29} (2001), 2945--2951.}

ef[21]:{M. Mathieu, {it Posner's second theorem deduced from
the first}, Proc. Amer. Math. Soc. { f 114} (1992), 601--602.}

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rings}, Canad. Math. Bull. { f 19} (1976), 113--115.}

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Amer. Math. Soc. { f 8} (1957), 1093--1100.}

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identity}, Proc. Amer. Math. Soc. { f 11} (1960), 180--183.}

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prime rings}, Proc. Amer. Math. Soc. { f 109} (1990), 47--52.}
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29009-
dc.description.abstract1957年Posner所發表的兩個關於導算型(derivation)的定理,本文將之推廣到斜導算型(skew-derivation)上。zh_TW
dc.description.abstractIn this thesis we extend Posner's two well-known theorems on derivations to the case of skew derivations.en
dc.description.provenanceMade available in DSpace on 2021-06-13T00:34:38Z (GMT). No. of bitstreams: 1
ntu-96-R91221010-1.pdf: 263345 bytes, checksum: 987708f776209f22fe4ac69af6020d8c (MD5)
Previous issue date: 2007
en
dc.description.tableofcontents1.Abstract………………………………………………………………1
2.Introduction and results…………………………………………2
3.Preliminaries……………………………………………………… 4
4.Posner’s First Theorem………………………………………… 6
5.Posner’s Second Theorem…………………………………………8
6.References………………………………………………………… 10
dc.language.isoen
dc.title斜導算型的 Posner 定理zh_TW
dc.titlePosner's Theorems with Skew Derivationsen
dc.typeThesis
dc.date.schoolyear95-2
dc.description.degree碩士
dc.contributor.oralexamcommittee李白飛,王彩蓮
dc.subject.keyword斜導算型,自同構,質環,PI,zh_TW
dc.subject.keywordSkew derivation,automorphism,prime ring,polynomial identy(PI),en
dc.relation.page12
dc.rights.note有償授權
dc.date.accepted2007-07-26
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept數學研究所zh_TW
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