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关于holonomicA_1-模k[x,p^(-1)]的研究(英文) 被引量:1

ON HOLONOMIC A_1-MODULE k[x, p^(-1)]
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摘要 本文研究了一阶Weyl代数A1上的Holonomic模k[x,p 1].利用与Bernstein-链对应的k[x,p 1]上的好链,证明了k[x,p 1]的重数为degp+1,且计算了k[x,p 1]上的一些元素的零化子. filtration of k[x, p of k[x,p-1] is deg In this paper, we study the holonomic Al-module k[x,p-1]. By using a good -1] with respect to the Bernstein filtration of A1, we prove that the multiplicity p + 1 and calculate the annihilators of some elements of k[x, p-1].
出处 《数学杂志》 CSCD 北大核心 2013年第5期773-780,共8页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(11171291) Specialized Research Fund for the Doctoral Program of Higher Education(20123250110005) Graduate Student Research and Innovation Program of Jiangsu Province(CXZZ1 0889)
关键词 WEYL代数 生成子 重数 holonomic模 Weyl algebra generator multiplicity holonomic module
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