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I-adic拓扑下完备代数的Wedderburn主定理(英文)

Wedderburn Principal Theorem of a Complete Algebra in I-adic Topology
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摘要 本文给出在I-adic拓扑下完备代数的Wedderburn主定理并由此刻画了某些无限维代数的结构. In this paper, we give the Wedderburn principal theorem for a complete algebra A in I-adic topology about a certain ideal I of A. This result enables us to characterize the structure of some infinite dimensional algebras.
作者 李方 刘纪春
出处 《数学进展》 CSCD 北大核心 2013年第4期501-504,共4页 Advances in Mathematics(China)
基金 This work is supported by NSFC(No.11271318,No.11171296 and No.J1210038) the Zhejiang Provincial Natural Science Foundation of China(No.LZ13A010001) the Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20110101110010)
关键词 Wedderburn主定理 I-adic拓扑 完备代数 可分代数 Wedderburn principal theorem I-adic topology complete algebra separablealgebra
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参考文献4

  • 1Pierce, R.S., Associative Algebras, Craduate Texts in Mathematics, No. 88, New York-heidelberg: Springer- Verlag, 1982.
  • 2Curtis, C.W., The structure of non-semisimple algebras, Duke Math. J., 1954, 21(1): 79-85.
  • 3Reisel, R.B., A generalization of the Wedderburn-Malcev theorem to infinite dimensional algebras, Proc. Amer. Mah. Soc., 1956, 7(3): 493-499.
  • 4Kadison, L., The Wedderburn principal theorem and Shukla cohomology, J. Pure. Appl., 1995, 102(1): 49-60.

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