三原数近环和环上的乔丹理想和$$(α, \beta )$$派生

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-01-17 DOI:10.1007/s11565-023-00485-2

Abdelkarim Boua, Gurninder S. Sandhu, Ahmed Y. Abdelwanis

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引用次数: 0

摘要

让 ${\mathcal {N}}$ 是一个以 $Z({\mathcal {N}})$ 为中心的三元近环， $\alpha , \beta : {\mathcal {N}}\rightarrow {\mathcal {N}}$ 是映射，并且 J 是 \({\mathcal {N}} 的一个非零约旦理想。\本文首先介绍了左（(\alpha , \beta )\）衍生的概念，然后研究了它们的性质。我们还描述了 3-prime 近环的交换性，并得到了一些相关结果。最后，我们提供了一些例子来说明我们结果中的假设并非多余。

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Jordan ideals and $(\alpha , \beta )$-derivations on 3-prime near-rings and rings

Let ${\mathcal {N}}$ be a 3-prime near-ring with center $Z({\mathcal {N}})$, $\alpha , \beta : {\mathcal {N}}\rightarrow {\mathcal {N}}$ be the maps, and J be a nonzero Jordan ideal of ${\mathcal {N}}.$ In this paper, we first introduce the notion of left $(\alpha , \beta )$-derivations and then study their properties. We also characterize the commutativity of 3-prime near rings and obtain some related results. Finally, some examples are provided to illustrate that the hypotheses of our results are not superfluous.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.