Maximal commutative subalgebras of Leavitt path algebras

被引：0

作者：

Bajor, Grzegorz ^{[1
]}

Cichocka, Anna ^{[1
]}

van Wyk, Leon ^{[2
]}

Ziembowski, Michal ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00662 Warsaw, Poland

[2] Stellenbosch Univ, Dept Math Sci, Private Bag X1, ZA-7602 Stellenbosch, South Africa

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2023年

关键词：

Maximal commutative subalgebra; Leavitt path algebra; DIMENSION; RANK;

D O I：

10.1142/S0219199722500778

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be a field, and let E be a row-finite (directed) graph. We present a construction of a wealth of maximal commutative subalgebras of the Leavitt path algebra L-K(E), which is a far-reaching generalization of the construction of the commutative core as a maximal commutative subalgebra of L-K(E).

引用

页数：28

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