Full idempotents in Leavitt path algebras

被引：0

作者：

Emre, Ekrem ^{[1
]}

机构：

[1] Duzce Univ, Dept Math, Konuralp Campus, TR-81620 Duzce, Turkey

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 04期

关键词：

Full idempotent; Leavitt path algebra; restriction graph; Morita invariant property; source elimination;

D O I：

10.1142/S0219498819500622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions on a directed graph E for which the associated Leavit path algebra L-K(E) has at least one full idempotent. Also, we define E-n, n >= 0 sub-graphs of E and show that L-K(E) has at least one full idempotent if and only if there is a sub-graph Er such that the associated Leavitt path algebra L-K(E-r) has at least one full idempotent.

引用

页数：10

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