Local Derivations of a Matrix Algebra over a Commutative Ring

被引：0

作者：

Xian WANG Department of Mathematics China University of Mining and Technology Jiangsu P R China ^{[221008
]}

机构：

来源：

数学研究与评论 | 2011年 / 31卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

摘要：

Let R be a commutative ring with identity, Nn(R) the matrix algebra consisting of all n × n strictly upper triangular matrices over R. Several types of proper local derivations of Nn(R) (n ≤ 4) are constructed, based on which all local derivations of Nn(R) (n ≤ 4) are characterized when R is a domain.

引用

页码：781 / 790

页数：10

共 50 条

[1] Local Derivations of a Matrix Algebra over a Commutative Ring
Xian WANG Department of Mathematics
Journal of Mathematical Research with Applications, 2011, (05) : 781 - 790
[2] LOCAL DERIVATIONS OF THE ALGEBRA OF UPPER TRIANGULAR MATRICES OVER COMMUTATIVE RINGS
Ahmed, Driss Aiat Hadj
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2006, 6 (03): : 515 - 518
[3] Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring
Wang, Dengyin
Yu, Qiu
LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 418 (2-3) : 763 - 774
[4] Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring
Ou, Shikun
Wang, Dengyin
Yao, Ruiping
LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (2-3) : 378 - 383
[5] Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring
Holubowski, Waldemar
Kashuba, Iryna
Zurek, Sebastian
COMMUNICATIONS IN ALGEBRA, 2017, 45 (11) : 4679 - 4685
[6] THE ALGEBRA OF A COMMUTATIVE SEMIGROUP OVER A COMMUTATIVE RING WITH UNITY
MUNN, WD
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 99 : 387 - 398
[7] DERIVATIONS OF A NILPOTENT SUBALGEBRA OF LIE ALGEBRA OF B-m TYPE OVER A COMMUTATIVE RING
Lai, Xinxing
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2010, 16 (01): : 13 - 29
[8] 2-Local derivations on matrix algebras over commutative regular algebras
Ayupov, Shavkat
Kudaybergenov, Karimbergen
Alauadinov, Amir
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (05) : 1294 - 1311
[9] Local and 2-Local Derivations on Lie Matrix Rings over Commutative Involutive Rings
Ayupov, Sh. A.
Arzikulov, F. N.
Umrzaqov, S. M.
JOURNAL OF LIE THEORY, 2022, 32 (04) : 1053 - 1071
[10] Triple and generalized triple derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring
Lei, Jie
Cao, You'an
Li, Zhiyong
LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (03): : 337 - 353

← 1 2 3 4 5 →