Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu Subspaces of Univariate Polynomial Algebras
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DOI：
10.1016/j.jpaa.2012.10.006
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发表时间：
2010-12
影响因子：
3.9
通讯作者：
A. Essen;Wenhua Zhao
中科院分区：
文献类型：
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作者：
A. Essen;Wenhua Zhao
首先给出了域上单变量多项式代数的Mathieu子空间的根的刻画。然后我们推导出对于某些经典的单变量正交多项式，像猜想是成立的。我们还证明了可交换q -代数A上单变量多项式代数A[t]的一维像猜想的两个特殊情况。
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals. We then deduce that for some classes of classical univariate orthogonal polynomials the Image Conjecture is true. We also prove two special cases of the one-dimensional Image Conjecture for univariate polynomial algebras A[t] over commutative Q-algebras A.