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
收藏
页码：387 / 399
页数：13
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