Scholarlink

<p>We study automorphisms of the incidence algebra <i>I</i>(<i>X</i>,&#xa0;<i>R</i>), where <i>X</i> is a&#xa0;preordered set and <i>R</i> is an algebra over some commutative ring&#xa0;<i>T</i>. Under some fairly general assumptions, it is established that every automorphism of such an algebra is a&#xa0;product of four automorphisms, the structure of which can be considered known.</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

AUTOMORPHISMS OF INCIDENCE ALGEBRAS

  • 期刊论文

  • 发表日期：

    2026年3月20日

查看全文
  • P. A. Krylov,
  • A. A. Tuganbaev

摘要

We study automorphisms of the incidence algebra I(X, R), where X is a preordered set and R is an algebra over some commutative ring T. Under some fairly general assumptions, it is established that every automorphism of such an algebra is a product of four automorphisms, the structure of which can be considered known.