论文标题

在Leavitt路径代数的质心上

On the centroid of a Leavitt path algebra

论文作者

Gonçalves, Daniel, Barquero, Dolores Martín, González, Cándido Martín, Molina, Mercedes Siles

论文摘要

我们描述了一些Leavitt路径代数的质心。更确切地说,我们表明,对于Leavitt Path代数而言,在一个很简单的字段$ K $上,其质心是同构至$ k $的,对于Prime Leavitt Path代数,其质谱为$ k $是同构的,除非图形是coltroi​​d is centroid is centroid is centroid is centroid is $ k [x [x] $ k [x [x]

We describe the centroid of some Leavitt path algebras. More precisely, we show that for Leavitt path algebras over a field $K$ that are simple its centroid is isomorphic to $K$, and for prime Leavitt path algebras its centroid is isomorphic to $K$ except if the graph is a row-finite comet, in which case the centroid is isomorphic to $K[x,x^{-1}]$.

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