Characterizations of derivations on incidence algebras by local actions

被引：0
|
作者：
Chen, Lizhen [1 ]
Xiao, Zhankui [1 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 10期
关键词：
Incidence algebra; local derivation; map derivable at zero; zero product determined algebra; LIE;
D O I：
10.1080/00927872.2024.2346302
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (X,<=) be a locally finite pre-ordered set and R be a commutative ring with unity. In this paper we apply the theory of zero product determined algebras to show that each linear map on the incidence algebra I(X,R) which is derivable at zero is a generalized derivation and every local derivation on I(X,R) is a derivation.
引用
收藏
页码：4380 / 4387
页数：8
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