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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 李秋坤(Tsiu-Kwen Lee) | |
| dc.contributor.author | Sheng-ji Luo | en |
| dc.contributor.author | 羅盛吉 | zh_TW |
| dc.date.accessioned | 2021-06-13T00:34:38Z | - |
| dc.date.available | 2007-07-27 | |
| dc.date.copyright | 2007-07-27 | |
| dc.date.issued | 2007 | |
| dc.date.submitted | 2007-07-24 | |
| dc.identifier.citation | ef[1]:{M. Ahmad, {it On a theorem of Posner}, Proc. Amer. Math.
Soc. { f 66} (1977), 13--16.} ef[2]:{R. Awtar, {it On a theorem of Posner}, Proc. Cambridge Phil. Soc. { f 73} (1973), 25--27.} ef[3]:{R. Awtar, {it Lie and Jordan structure in prime rings with derivations}, Proc. Amer. Math. Soc. { f 41} (1973), 67--74.} ef[4]:{K.I. Beidar, W.S. Martindale 3rd and A.V. Mikhalev, ``Rings with Generalized Identities', Marcel Dekker, Inc., New York--Basel--Hong Kong, 1996.} ef[5]:{H.E. Bell and W.S. Martindale, {it Centralizing mappings of semiprime rings}, Canad. Math. Bull. { f 30} (1987), 92--101.} ef[6]:{M. Brev sar, {it Centralizing mappings and derivations in prime rings}, J. Algebra { f 156} (1993), 385--394.} ef[7]:{M. Brev sar, {it On generalized biderivations and related maps}, J. Algebra { f 172} (1995), 764--786.} ef[8]:{C.-M. Chang and T.-K. Lee, {it Derivations and central 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. } ef[12]:{Y. Hirano, H. Tominaga and A. Trzepizur, {it On a theorem of Posner}, Math. J. Okayama Univ. { f 27} (1985), 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.} ef[22]:{W.S. Martindale III, {it Prime rings satisfying a generalized polynomial identity}, J. Algebra { f 12} (1969), 576--584.} ef[23]:{J.H. Mayne, {it Centralizing automorphisms of prime rings}, Canad. Math. Bull. { f 19} (1976), 113--115.} ef[24]:{E.C. Posner, {it Derivations in prime rings}, Proc. Amer. Math. Soc. { f 8} (1957), 1093--1100.} ef[25]:{E.C. Posner, {it Prime rings satisfying a polynomial identity}, Proc. Amer. Math. Soc. { f 11} (1960), 180--183.} ef[26]:{J. Vukman, {it Commuting and centralizing mappings in prime rings}, Proc. Amer. Math. Soc. { f 109} (1990), 47--52.} | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/29009 | - |
| dc.description.abstract | 1957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.abstract | In this thesis we extend Posner's two well-known theorems on derivations to the case of skew derivations. | en |
| dc.description.provenance | Made 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.tableofcontents | 1.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.iso | en | |
| dc.subject | 自同構 | zh_TW |
| dc.subject | 斜導算型 | zh_TW |
| dc.subject | PI | zh_TW |
| dc.subject | 質環 | zh_TW |
| dc.subject | automorphism | en |
| dc.subject | Skew derivation | en |
| dc.subject | polynomial identy(PI) | en |
| dc.subject | prime ring | en |
| dc.title | 斜導算型的 Posner 定理 | zh_TW |
| dc.title | Posner's Theorems with Skew Derivations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 95-2 | |
| 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.keyword | Skew derivation,automorphism,prime ring,polynomial identy(PI), | en |
| dc.relation.page | 12 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2007-07-26 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| Appears in Collections: | 數學系 | |
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| File | Size | Format | |
|---|---|---|---|
| ntu-96-1.pdf Restricted Access | 257.17 kB | Adobe PDF |
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