Scholarlink

<p>We study simple 3-dimensional commutative unital algebras containing nil-elements of index&#xa0;3 in which nil-elements of index&#xa0;2 are absent. We prove that each such algebra depends on either one or two parameters. For each of the parametric algebras, we find their idempotents and nil-elements under some natural restrictions on the parameters. In addition, we study idempotents and nil-elements in one isotope of some special algebra.</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

ON NIL-ELEMENTS AND IDEMPOTENTS IN THE SIMPLE THREE-DIMENSIONAL COMMUTATIVE UNITAL ALGEBRAS

  • 期刊论文

  • 发表日期：

    2026年3月20日

查看全文
  • V. Glizburg,
  • Zh. Onerbek,
  • S. Pchelintsev

摘要

We study simple 3-dimensional commutative unital algebras containing nil-elements of index 3 in which nil-elements of index 2 are absent. We prove that each such algebra depends on either one or two parameters. For each of the parametric algebras, we find their idempotents and nil-elements under some natural restrictions on the parameters. In addition, we study idempotents and nil-elements in one isotope of some special algebra.