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

页码：4380 / 4387

页数：8

共 50 条

[31] Nonlinear Jordan higher derivations of incidence algebras
Chen, Lizhen
COMMUNICATIONS IN ALGEBRA, 2024, 52 (01) : 408 - 422
[32] On automorphisms and derivations of reduced incidence algebras and coalgebras
Krylov, Piotr A.
Norbosambuev, Tsyrendorzhi D.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2024, (90):
[33] Lie n-derivations of incidence algebras
Xiao, Zhankui
Yang, Yuping
COMMUNICATIONS IN ALGEBRA, 2020, 48 (01) : 105 - 118
[34] Local derivations and local automorphisms on the super Virasoro algebras
Wu, Qingyan
Gao, Shoulan
Liu, Dong
Ye, Chang
COMMUNICATIONS IN ALGEBRA, 2024, 52 (06) : 2616 - 2625
[35] Local and 2-local derivations on octonion algebras
Ayupov, Shavkat
Kudaybergenov, Karimbergen
Allambergenov, Allayar
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (07)
[36] Derivations and local derivations on strongly double triangle subspace lattice algebras
Pang Yongfeng
Yang Wei
LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (07) : 855 - 862
[37] Local derivations and automorphisms of nilpotent Lie algebras
Khudoyberdiyev, Abror
Jumaniyozov, Doston
COMMUNICATIONS IN ALGEBRA, 2025, 53 (05) : 1921 - 1933
[38] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
Jun He
Jiankui Li
Danjun Zhao
Mediterranean Journal of Mathematics, 2017, 14
[39] Local and 2-local derivations on noncommutative Arens algebras
Ayupov, Shavkat
Kudaybergenov, Karimbergen
Nurjanov, Berdakh
Alauadinov, Amir
MATHEMATICA SLOVACA, 2014, 64 (02) : 423 - 432
[40] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
He, Jun
Li, Jiankui
Zhao, Danjun
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)

← 1 2 3 4 5 →