σ-derivations on generalized matrix algebras-Reference-Cited by-同舟云学术

σ-derivations on generalized matrix algebras

Published:2020-07-01 Issue:2 Volume:28 Page:115-135
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Jabeen Aisha¹,Ashraf Mohammad²,Ahmad Musheer¹

Affiliation:

1. Department of Applied Sciences & Humanities , Jamia Millia Islamia (A Central University) , New Delhi - 110025 , India .

2. Department of Mathematics , Aligarh Muslim University , Aligarh - 202002 , India .

Abstract

Abstract Let 𝒭 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2020-0022

Reference16 articles.

1. [1] C. Boboc, S. S. Dascalescu, and L.V. Wyk, Isomorphisms between Morita context rings, Linear Multilinear Algebra. 60 (2012), 545-563.10.1080/03081087.2011.611946

2. [2] M. Brešar, Jordan derivation on semiprime rings, J. Algebra 127 (1989), 218-228.10.1016/0021-8693(89)90285-8

3. [3] W. S. Cheung, Maps on triangular algebras, Ph.D. dissertation, University of Victoria, 2000.

4. [4] D. Han and F. Wei, Jordan (α, β)-derivations on triangular algebras and related mappings, Linear Algebra Appl. 434 (2011), 259-284.10.1016/j.laa.2010.08.018

5. [5] I. N. Herstein, Jordan derivation on prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104-1110.10.1090/S0002-9939-1957-0095864-2

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Lie (Jordan) $ \sigma- $centralizer at the zero products on generalized matrix algebra;AIMS Mathematics;2024