代数恒等式的交换性，包括荷密和斜荷密元素

IF 0.5 Q3 MATHEMATICS Asian-European Journal of Mathematics Pub Date : 2023-10-20 DOI:10.1142/s1793557123502145

H. Aharssi, H. El Mir, A. Mamouni

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引用次数: 0

摘要

研究了一类具有对合*的素数环的交换性，其中自同态满足厄密和斜厄密元素的代数恒等式。我们还将提供这些自同态的一些分类。最后，我们给出了一些例子来证明强加的假设是必要的。

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Commutativity with algebraic identities involving hermetian and skew-hermetian elements

This paper aims to investigate the commutativity of prime rings with involution ∗ of the second kind in which endomorphisms satisfy some algebraic identities involving hermitian and skew-hermitian elements. We will also provide some classifications of these endomorphisms. Finally, we give some examples to prove that the imposed hypotheses are necessary.

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.

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