AI 中文总结
本文对呈现三次多项式增长的φ-余维序列的单位φ-代数完成分类，并确定了φ-余维增长至多二次的单位φ-代数相关T^φ-理想的最低次数多重线性生成元。
AI 中文摘要
φ-代数是超代数或带对合的代数。本文研究与单位φ-代数相关的T^φ-理想，其φ-余维序列呈现三次多项式增长。由此，我们对单位φ-代数所有三次增长的φ-余维序列完成了完整分类。此外，我们明确确定了与φ-余维增长至多为二次的单位φ-代数相关的每个T^φ-理想的最低次数多重线性生成元。
英文摘要
A $φ$-algebra is either a superalgebra or an algebra with involution. In this paper, we study $\operatorname{T}^φ$-ideals associated with unital $φ$-algebras whose $φ$-codimension sequence exhibits cubic polynomial growth. As a consequence, we obtain a complete classification of all $φ$-codimension sequences of cubic growth for unital $φ$-algebras. Furthermore, we explicitly determine a minimal-degree multilinear generator for every $\operatorname{T}^φ$-ideal associated with unital $φ$-algebras whose $φ$-codimension growth is at most quadratic.
