On prime nonprimitive von Neumann regular algebras

On prime nonprimitive von Neumann regular algebras
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论素数非原冯诺依曼正则代数

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
K. Rangaswamy
K. Rangaswamy
中科院分区:
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文献类型:
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作者:
G. Abrams;J. Bell;K. Rangaswamy

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设E是任意有向图,K是任意域。我们对Leavitt路代数LK(E)是本原的图E进行了分类。因此,我们得到类的例子冯诺依曼正规素环,这是不是原始的。
Let E be any directed graph, and K any field. We classify those graphs E for which the Leavitt path algebra LK(E) is primitive. As a consequence, we obtain classes of examples of von Neumann regular prime rings which are not primitive.