Local derivations of generalized matrix algebras

2021 ◽  
Vol 99 (3-4) ◽  
pp. 355-369
Author(s):  
Lei Liu
Keyword(s):  
Matrix Algebras ◽  
Generalized Matrix

scholarly journals σ-derivations on generalized matrix algebras

2020 ◽  
Vol 28 (2) ◽  
pp. 115-135
Author(s):  
Aisha Jabeen ◽  
Mohammad Ashraf ◽  
Musheer Ahmad
Keyword(s):  
Commutative Ring ◽  
Matrix Algebra ◽  
Morita Context ◽  
Matrix Algebras ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra

AbstractLet 𝒭 be a commutative ring with unity, 𝒜, 𝒝 be 𝒭-algebras, 𝒨 be (𝒜, 𝒝)-bimodule and 𝒩 be (𝒝, 𝒜)-bimodule. The 𝒭-algebra 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) is a generalized matrix algebra defined by the Morita context (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩, Ω𝒩𝒨). In this article, we study Jordan σ-derivations on generalized matrix algebras.

Characterizations of Lie triple derivations on generalized matrix algebras

2020 ◽  
Vol 48 (9) ◽  
pp. 3651-3660
Author(s):  
Mohammad Ashraf ◽  
Mohd Shuaib Akhtar
Keyword(s):  
Matrix Algebras ◽  
Generalized Matrix

scholarly journals Multiplicative Lie n -derivations of generalized matrix algebras

2013 ◽  
Vol 438 (5) ◽  
pp. 2599-2616 ◽  
Author(s):  
Yao Wang ◽  
Yu Wang
Keyword(s):  
Matrix Algebras ◽  
Generalized Matrix

scholarly journals Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Xiuhai Fei ◽  
Haifang Zhang
Keyword(s):  
Matrix Algebra ◽  
Matrix Algebras ◽  
Generalized Matrix ◽  
Generalized Matrix Algebra

The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square-zero elements is a sum of an additive derivation δ and an additive antiderivation f . Moreover, δ and f are uniquely determined.

scholarly journals Jordan derivations and antiderivations of generalized matrix algebras

2013 ◽  
pp. 399-415 ◽  
Author(s):  
Yanbo Li ◽  
Leon van Wyk ◽  
Feng Wei
Keyword(s):  
Matrix Algebras ◽  
Generalized Matrix
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