Dense subsets on Banach *-algebras with linear derivations

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/ija.2021.91573

H. Alhazmi

引用次数: 0

Abstract

Let A be a Banach ∗-algebra over C. In this manuscript, we study the behaviour of linear derivations with regular involution which satisfy certain differential identitities. In fact, we prove that there is no positive integer n such that the set of a ∈ A for which (a∆)n((a∗)∆)n ± ((a∗)∆)n(a∆)n ∈ Z(A ) or there exists a central idempotent e ∈ Q such that ∆ = 0 on eQ and (1 − e)Q satisfies s4, the standard identity in four variables. Mathematics Subject Classification: 16W25, 46J45

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具有线性导数的Banach *-代数上的稠密子集

设A是c上的一个Banach * -代数。在本文中，我们研究了满足某些微分恒等式的正则对合线性导数的性质。事实上，我们证明了不存在正整数n，使得a∈a的集合(a∆)n((a∗)∆)n±(a∗)∆)n(a∆)n∈Z(a)或存在中心幂等e∈Q，使得eQ和(1−e)Q上的∆= 0满足四变量标准恒等式s4。数学学科分类:16W25, 46J45

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.