A maximal \(T\)-space of \(\mathbb{F}_{3}[x]_0\)

• Date: 2018
• Main Authors: Bekh-Ochir, Chuluun, Rankin, Stuart A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: 16R10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1154
• Journal Title: Algebra and Discrete Mathematics

In earlier work, we have established that for any finite field \(k\), the free associative \(k\)-algebra on one generator \(x\), denoted by \(k[x]_0\), has infinitely many maximal \(T\)-spaces, but exactly two maximal \(T\)-ideals (each of which is a maximal \(T\)-space). However, aside from these t...