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素环上带自同构的函数恒等式 被引量：2

Functional Identities with Automorphisms in Prime Rings
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摘要 利用环上的函数恒等式理论,研究素环上的一类带自同构的函数恒等式,给出了其存在唯一标准解的必要条件. Using the theory of functional identities in rings,we dealt with a class of functional identities with automorphisms in prime rings.Necessary conditions were given for the functional identities to have unique standard solution.
作者 杜奕秋 王宇
机构地区 吉林大学数学研究所 吉林师范大学数学学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2010年第1期21-25,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10771084)
关键词 函数恒等式 自同构 素环 functional identities automorphisms prime rings
分类号 O153.3 [理学—基础数学]
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参考文献7

  • 1Beidar K I, Mikhalev A V, Chebotar M A. Functional Identities in Rings and Their Applications [ J ]. Russian Math Surveys, 2004, 59(3):403-428.
  • 2Bresar M. Functional Identities: a Survey [ J]. Contemp Math, 2000, 259(2) : 93-109.
  • 3Beidar K I, Martindale m w s. On Functional Identities in Prime Rings with Involution [J].J Algebra, 1998, 203(2) : 491-532.
  • 4Beidar K I, MartindaleIII W S, Mikhalev A V. Rings with Generalized Identities [ M ]. New York : Marcel Dekker, 1996.
  • 5Kharehenko V K. Generalized Identities with Automorphisms [J]. Algebra and Logic, 1975, 14(2) : 132-148.
  • 6Martindale III W S. Prime Rings Satisfying a Generalized Polynomial Identity [J]. J Algebra, 1969, 12(4) : 576-584.
  • 7Beidar K I, Bresar M, Chebotar M A. Generalized Functional Identities with (Anti-)Automorphisms and Derivations on Prime Rings [J]. J Algebra, 1999, 215(2) : 644-665.

同被引文献15

  • 1POSNER E.Derivations in prime rings[J].Proc Amer Math Soc,1957,8:1093-1100.
  • 2BRESAR M.Centralizing mappings and serivations in prime rings[J].J Algebra,1993,156:385-394.
  • 3BEIDAR K I,MARTINDALE 3RD W S,MIKHALEV A V.Rings with generalized identities[J].Pure and Applied Math,1996,196:51-95.
  • 4LANSKI C.An Engel condition with derivation for left ideals[J].Proc Amer Math Soc,1997,125(2):339-345.
  • 5CHUANG C L.GPI's having coefficients in utumi quotient rings[J].Proc Amer Math Soc,1998,103(3):723-728.
  • 6K. I. Beidar, A. V. Mikhalev, M. A. Chebotar. Functional Identities in Rings and their Applications [ J ]. Russian Math. Surveys,2004,59 ( 3 ) : 403 - 428.
  • 7M Bregar. Functional Identities: A Survey [J]. Contemp. Math,2000,259(2) : 93 - 109.
  • 8K. I. Beidar, W. S. Martindale III. On Functional Identities in Prime Rings with Involution [ J ]. J. Algebra, 1998,203 (2) : 491 - 532.
  • 9K. I. Beidar,W. S. Martindale 3rd,A. V. Mikhalev. Rings with Generalized Identities [ M]. New York: Marcel Dekker,1996.
  • 10Matej Bresar. Commuting Maps: A Survey [ J ]. Taiwan Residents Journal of Math, 2004,8 ( 3 ) : 361 - 397.

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吉林大学学报（理学版）
2010年 第1期

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