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σ-derivations on generalized matrix algebras
Analele Universitatii "Ovidius" Constanta - Seria Matematica ( IF 0.886 ) Pub Date : 2020-07-01 , DOI: 10.2478/auom-2020-0022
Aisha Jabeen 1 , Mohammad Ashraf 2 , Musheer Ahmad 1
Affiliation  

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.

中文翻译:

广义矩阵代数上的σ-推导

摘要 令𝒭 是具有统一性的交换环,𝒜,𝒝 是 𝒭-代数,𝒨 是 (𝒜, 𝒝)-双模和 𝒩 是 (𝒝, 𝒜)-双模。𝒭-代数 𝒢 = 𝒢(𝒜, 𝒨, 𝒩, 𝒝) 是由 Morita 上下文 (𝒜, 𝒝, 𝒨, 𝒩, ξ𝒨𝒩) 定义的广义矩阵代数。在本文中,我们研究了广义矩阵代数上的 Jordan σ 导数。
更新日期:2020-07-01
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