Scholarlink

We present a classification of \({\aleph _{0}}\) -categorical biregular rings, extending the work of Macintyre and Rosenstein (J Algebra 43:129–154) to the realm of non-commutative rings. It shall be shown that any countable \({\aleph _{0}}\) -categorical biregular ring with identity is a finite direct sum of filtered Boolean powers, the functions of each component taking values in suitable matrix algebras over finite fields.

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 \(\aleph _0\) -Categorical Biregular Rings

  • 章节

  • 发表日期：

    2026年

查看全文
  • Francisco Miraglia

摘要

We present a classification of \({\aleph _{0}}\) -categorical biregular rings, extending the work of Macintyre and Rosenstein (J Algebra 43:129–154) to the realm of non-commutative rings. It shall be shown that any countable \({\aleph _{0}}\) -categorical biregular ring with identity is a finite direct sum of filtered Boolean powers, the functions of each component taking values in suitable matrix algebras over finite fields.