Weighted Leavitt Path Algebras that are Isomorphic to Unweighted Leavitt Path Algebras

被引：0
|
作者：
Raimund Preusser
机构：
[1] Universidade de Brasilia,
来源：
Algebras and Representation Theory | 2021年 / 24卷
关键词：
Leavitt path algebra; Weighted Leavitt path algebra; 16S10; 16W10; 16W50; 16D70;
D O I：
暂无
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学科分类号：
摘要：
Let K be a field. We characterise the row-finite weighted graphs (E, w) such that the weighted Leavitt path algebra LK(E, w) is isomorphic to an unweighted Leavitt path algebra. Moreover, we prove that if LK(E, w) is locally finite, or Noetherian, or Artinian, or von Neumann regular, or has finite Gelfand-Kirillov dimension, then LK(E, w) is isomorphic to an unweighted Leavitt path algebra.
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页码：403 / 423
页数：20
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