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σ-derivations on generalized matrix algebras Cover

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.

DOI: https://doi.org/10.2478/auom-2020-0022 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 115 - 135
Submitted on: Oct 12, 2019
Accepted on: Dec 12, 2019
Published on: Sep 22, 2020
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Aisha Jabeen, Mohammad Ashraf, Musheer Ahmad, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.