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
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coltroid 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 $K[x,x^{-1}]$.