On Local (like) Derivations on Path Algebras

被引：0

作者：

Adrabi, Abderrahim ^{[1
]}

Bennis, Driss ^{[1
]}

Fahid, Brahim ^{[2
]}

机构：

[1] Fac Sci Rabat, Dept Math, Rabat, Morocco

[2] Ibn Tofail Univ, Super Sch Technol, Kenitra, Morocco

来源：

ACTA MATHEMATICA VIETNAMICA | 2023年 / 48卷 / 03期

关键词：

Local derivations; Local generalized derivations; Kadison algebras; Path algebras; GENERALIZED DERIVATIONS; LIE DERIVATIONS;

D O I：

10.1007/s40306-023-00499-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate local derivations and local generalized derivations on path algebras associated with finite acyclic quivers. We show that every local derivation on a path algebra is a derivation, and every local generalized derivation on a path algebra is a generalized derivation. Also, we apply main results on several related maps to local derivations. The established results generalize several ones on some known algebras such as incidence algebras.

引用

页码：387 / 399

页数：13

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