On ε-Derivations and Local ε-Derivations

被引:0
|
作者
Ajda FONER [1 ]
Maja FONER [2 ]
机构
[1] Faculty of Management, University of Primorska
[2] Faculty of Logistics, University of Maribor
关键词
Graded algebras; graded prime algebras; graded semiprime algebras; ε-derivations; local;
D O I
暂无
中图分类号
O153 [抽象代数(近世代数)];
学科分类号
070104 ;
摘要
In this paper, we describe ε-derivations in certain graded algebras by their actions onelements satisfying some special conditions. One of the main results is applied to local ε-derivations onsome certain graded algebras.
引用
收藏
页码:1555 / 1566
页数:12
相关论文
共 50 条
  • [1] On ε-derivations and local ε-derivations
    Fosner, Ajda
    Fosner, Maja
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (08) : 1555 - 1566
  • [2] On ε-derivations and local ε-derivations
    Ajda Fošner
    Maja Fošner
    Acta Mathematica Sinica, English Series, 2010, 26 : 1555 - 1566
  • [3] Local derivations on C*-algebras are derivations
    Johnson, BE
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 353 (01) : 313 - 325
  • [4] LOCAL DERIVATIONS
    KADISON, RV
    JOURNAL OF ALGEBRA, 1990, 130 (02) : 494 - 509
  • [5] Local higher derivations on C*-algebras are higher derivations
    Naranjani, Lila
    Hassani, Mahmoud
    Mirzavaziri, Madjid
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 111 - 115
  • [6] Local derivations and 2-local Lie derivations of triangular algebras
    Liu, Dan
    Niu, Xiaolei
    SCIENCEASIA, 2024, 50 (02):
  • [7] Derivations, local derivations and atomic Boolean subspace lattices
    Li, PT
    Ma, JP
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (03) : 477 - 486
  • [8] Derivations, local and 2-local derivations on algebras of measurable operators
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    TOPICS IN FUNCTIONAL ANALYSIS AND ALGEBRA, 2016, 672 : 51 - 72
  • [9] Local Higher Derivations
    Shateri, Tayebeh Lal
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (02): : 453 - 462
  • [10] Local derivations and local automorphisms
    Hadwin, D
    Li, JK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (02) : 702 - 714