Scholarlink

<p>In this paper, we investigate the commutativity of 3-prime near-rings that admit homoderivations satisfying certain differential identities. Specifically, we demonstrate that there is a relationship between the behavior of <i>h</i> and the commutativity of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {N}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">N</mi> </math></EquationSource> </InlineEquation>. Moreover, we provide an example to demonstrate that the 3-primeness condition imposed in various theorems is essential and cannot be disregarded.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Study of 3-prime near-rings via zero-power valued homoderivations

  • 期刊论文

  • 发表日期：

    2026年3月3日

查看全文
  • Slimane El Amrani,
  • Abderrahmane Raji,
  • Abdelkarim Boua

摘要

In this paper, we investigate the commutativity of 3-prime near-rings that admit homoderivations satisfying certain differential identities. Specifically, we demonstrate that there is a relationship between the behavior of h and the commutativity of \(\mathcal {N}\) N . Moreover, we provide an example to demonstrate that the 3-primeness condition imposed in various theorems is essential and cannot be disregarded.