Skew-symmetric biderivations and linear commuting maps on the commuting maps on the conformal Galilei-era

被引：4

作者：

Abdaoui, Meher ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 04期

关键词：

Conformal Galilei algebra; biderivation; linear commuting map; skew-symmetric; LIE ALGEBRA STRUCTURES; GENERALIZED BIDERIVATIONS; MODULES;

D O I：

10.1080/00927872.2022.2140348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that every skew-symmetric biderivation of the conformal Galilei algebra is inner. Based on the result of biderivations, we show that all the linear commuting maps on the conformal Galilei algebra which have the form psi(x) = lambda x + omega(x)z are not standard.

引用

页码：1663 / 1672

页数：10

共 50 条

[31] INTERSECTIONS OF SPACE OF SKEW-SYMMETRIC MAPS WITH ITS TRANSLATES
SHAPIRO, DB
PACIFIC JOURNAL OF MATHEMATICS, 1978, 75 (02) : 553 - 560
[32] Generalized skew derivations and generalization of commuting maps on prime rings
De Filippis, Vincenzo
Dhara, Basudeb
Bera, Nripendu
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2022, 63 (03): : 599 - 620
[33] Determinants Preserving Maps on the Spaces of Symmetric Matrices and Skew-Symmetric Matrices
Ratsiri Sanguanwong
Kijti Rodtes
Vietnam Journal of Mathematics, 2024, 52 : 129 - 137
[34] On n-commuting and n-skew-commuting maps with generalized derivations in prime and semiprime rings
ur Rehman N.
de Filippis V.
Siberian Mathematical Journal, 2011, 52 (3) : 516 - 523
[35] Determinants Preserving Maps on the Spaces of Symmetric Matrices and Skew-Symmetric Matrices
Sanguanwong, Ratsiri
Rodtes, Kijti
VIETNAM JOURNAL OF MATHEMATICS, 2024, 52 (01) : 129 - 137
[36] Biderivations, commuting linear maps, post-Lie algebra structure on solvable Lie algebras of maximal rank
Oubba, Hassan
COMMUNICATIONS IN ALGEBRA, 2025, 53 (03) : 1181 - 1190
[37] ON n-COMMUTING AND n-SKEW-COMMUTING MAPS WITH GENERALIZED DERIVATIONS IN PRIME AND SEMIPRIME RINGS
Rehman, N. Ur
De Filippis, V.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (03) : 516 - 523
[38] LINEAR n-COMMUTING MAPS ON INCIDENCE ALGEBRAS
Xiao, Z-K
Yang, L-Q
ACTA MATHEMATICA HUNGARICA, 2021, 164 (02) : 470 - 483
[39] A NOTE ON COMMUTING ADDITIVE MAPS ON RANK K SYMMETRIC MATRICES
Chooi, Wai Leong
Tan, Yean Nee
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2021, 37 : 734 - 746
[40] Super-biderivations and super-commuting maps on the topological N=2 superconformal algebra
Chi, Lili
Sun, Jiancai
Yang, Hengyun
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2018, 25 (04) : 597 - 609

← 1 2 3 4 5 →