三角代数上的乘法李偏导

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00011

M. Ashraf, A. Jabeen, Musheer Ahmad

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引用次数: 0

摘要

设U是一个三角代数。在一定的假设下，我们证明了每一个乘法李氏σ -导数L: U→U都是δ + τ的形式，其中δ是U上的一个可加σ -导数，τ是一个从U到它的中心Z σ (U)的映射，它在李氏积上消失。作为应用，我们研究了巢代数和块上三角矩阵代数上的乘法Lie σ导数。

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Multiplicative Lie skew derivations on triangular algebras

Let U be a triangular algebra. Under certain assumptions, we show that every multiplicative Lie σ -derivation L : U → U is of the form δ + τ, where δ is an additive σ -derivation on U and τ is a map from U to its center Z σ ( U ) that vanishes on Lie product. As an application, we study the multiplicative Lie σ -derivation on nest algebras and block upper triangular matrix algebras.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.