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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (2): 245-252    DOI:
    
An application of Lyndon words in associative algebras
ZHOU Gui-Song
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
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Abstract  By taking advantage of the combinatorial features of Lyndon words, the global dimension and the Gelfand-Kirillov dimension of these algebras of which the set of obstructions consists of Lyndon words are characterized.

Key words： Lyndon words      Anick resolution      global dimension      Gelfand-Kirillov dimension     
Received: 26 March 2015      Published: 05 June 2018
CLC:  O154.2  
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ZHOU Gui-Song
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ZHOU Gui-Song. An application of Lyndon words in associative algebras. Applied Mathematics A Journal of Chinese Universities, 2015, 30(2): 245-252.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I2/245


Lyndon字串在结合代数中的一个应用

考虑了障碍集由Lyndon字串组成的代数, 利用Lyndon字串的组合特性, 刻画了这类代数的整体维数和Gelfand-Kirillov维数等不变量.

关键词： Lyndon字串,  Anick分解,  整体维数,  Gelfand-Kirillov维数 
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