Realization for tensor products of Leavitt path algebras

被引：0
|
作者：
Yashuang Ma
Yanhong Bao
Huanhuan Li
机构：
[1] Anhui University,School of Mathematical Sciences
[2] Anhui University,Center for Pure Mathematics, School of Mathematical Sciences
来源：
Archiv der Mathematik | 2022年 / 119卷
关键词：
Leavitt path algebra; Tensor product; Matrix algebra; Graded algebra; 16W50; 16S50; 16D70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For two given graphs, we construct an augmentation graph. We obtain an injective algebra homomorphism from the Leavitt path algebra of the augmentation graph to the tensor product of the Leavitt path algebras of the given graphs, and give a necessary and sufficient condition on the surjectivity of the homomorphism. This gives rise to a realization of the tensor product of two Leavitt path algebras as a Leavitt path algebra.
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页码：121 / 133
页数：12
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