3素数近环的交换性判定

IF 0.3 Q4 MATHEMATICS, APPLIED Algebra & Discrete Mathematics Pub Date : 2021-01-01 DOI:10.12958/adm1439

A. Raji

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引用次数: 0

摘要

在本文中，我们引入了近环N上的* -广义导数的概念，并研究了一个*素数近环N的* -广义导数的若干性质，使N成为交换环。在3素数近环的情况下，给出了广义半导数的一些性质。因此，一些众所周知的结果得到了推广。此外，我们将给出例子来证明，对各种结果的假设施加的限制是不superŕuous。

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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Some commutativity criteria for 3-prime near-rings

In the present paper, we introduce the notion of∗-generalized derivation in near-ring N and investigate some properties in volving that of∗-generalized derivation of a∗-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have beengeneralized. Furthermore, we will give examples to demonstratethat the restrictions imposed on the hypothesis of various resultsare not superŕuous.

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