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I-adic拓扑下完备代数的Wedderburn主定理
Wedderburn Principal Theorem of a Complete Algebra in I-adic Topology

李方1, 刘纪春1,2
LI Fang1, LIU Jichun1,2,*

1. 浙江大学数学系,杭州,浙江, 310027
2. 福建江夏学院数理部, 福州, 福建, 350108
1. Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310027, P. R. China
2. Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou, Fujian, 350108, P. R. China

收稿日期: 2011-06-20
出版日期: 2013-08-25
DOI: 10.11845/sxjz.20130408b

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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.
关键词 Wedderburn主定理I-adic拓扑完备代数可分代数    
Abstract: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.
Key wordsI-adic topology    complete algebra    separable algebra
基金资助:The work is supported by NSFC (No. 11271318, No. 11171296 and No. J1210038), the Zhejiang Provincial Natural Science Foundation of China (No. LZ13A010001) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 2011010
通讯作者: * liujc1982@126.com   
[1] 侯波,徐运阁. Zn分次代数的Hochschild上同调群[J]. 数学进展, 2011, 40(6): 709-716.
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