The structure of (α,β)-derivations of triangular rings

被引:0
|
作者
Ghosseiri, MN [1 ]
机构
[1] Kurdistan Univ, Dept Math, Sanandaj, Iran
关键词
triangular ring; automorphism; (alpha; beta); -derivation;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Let R and S be reduced rings with identities whose idempotents are central, and let M be an (R, S)-bimodule such that arm, (M)=O. In this paper, we determine first the structure of automorphisms of th triangular ring T = [R M / O S], and then for all the automorphisms alpha, beta of T we determine the structure of (alpha, beta)-derivations of T.
引用
收藏
页码:507 / 514
页数:8
相关论文
共 50 条
  • [1] Derivations of triangular matrix rings
    Vladeva, D., I
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (09): : 1450 - 1461
  • [2] A note on Jordan derivations of triangular rings
    Fosner, Ajda
    Jing, Wu
    AEQUATIONES MATHEMATICAE, 2020, 94 (02) : 277 - 285
  • [3] A note on Jordan derivations of triangular rings
    Ajda Fošner
    Wu Jing
    Aequationes mathematicae, 2020, 94 : 277 - 285
  • [4] Commuting Jordan Derivations on Triangular Rings Are Zero
    Hosseini, Amin
    Jing, Wu
    MATHEMATICAL NOTES, 2024, 115 (5-6) : 1006 - 1016
  • [5] Jordan Derivations on Strictly Triangular Matrix Rings
    Kuzucuoglu, Feride
    ALGEBRA COLLOQUIUM, 2011, 18 (03) : 519 - 522
  • [6] NONLINEAR JORDAN HIGHER DERIVATIONS ON TRIANGULAR RINGS
    Xue, Chunhui
    An, Runling
    Zhang, Huiyuan
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2014, 15 : 56 - 65
  • [7] DERIVATIONS OF UPPER-TRIANGULAR MATRIX-RINGS
    COELHO, SP
    MILIES, CP
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 187 : 263 - 267
  • [8] STRONG COMMUTATIVITY PRESERVING GENERALIZED DERIVATIONS ON TRIANGULAR RINGS
    Yuan, He
    Wang, Yao
    Wang, Yu
    Du, Yiqiu
    OPERATORS AND MATRICES, 2014, 8 (03): : 773 - 783
  • [9] ON DERIVATIONS AND BIDERIVATIONS OF TRIVIAL EXTENSIONS AND TRIANGULAR MATRIX RINGS
    Ghosseiri, N. M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1629 - 1644
  • [10] Multiplicative Lie n-derivations of triangular rings
    Benkovic, Dominik
    Eremita, Daniel
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (11) : 4223 - 4240