<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>σ-</italic>derivations on generalized matrix algebras.</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.

<italic>σ</italic>-derivations on generalized matrix algebras

Department of Applied Sciences & Humanities

Jamia Millia Islamia (A Central University)

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

-derivations on generalized matrix algebras

{"article-title":{"italic":"σ","content":"-derivations on generalized matrix algebras"}}

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...

σ-derivations on generalized matrix algebras

Published Online: Sep 22, 2020

Page range: 115 - 135

Received: Oct 12, 2019

Accepted: Dec 12, 2019

DOI: https://doi.org/10.2478/auom-2020-0022

Keywords
generalized matrix algebras, -derivation, Jordan -derivation

© 2020 Aisha Jabeen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

σ-derivations on generalized matrix algebras

Published Online: Sep 22, 2020

Page range: 115 - 135

Received: Oct 12, 2019

Accepted: Dec 12, 2019

DOI: https://doi.org/10.2478/auom-2020-0022

Keywordsgeneralized matrix algebras, -derivation, Jordan -derivation

© 2020 Aisha Jabeen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
generalized matrix algebras, -derivation, Jordan -derivation