Rings with divisibility on ascending chains of ideals
Rings with divisibility on ascending chains of ideals
According to Dastanpour and Ghorbani, a ring $R$ is said to satisfy divisibility on ascending chains of right ideals ($A C C_{d}$) if, for every ascending chain of right ideals $I_{1} \subseteq I_{2} \subseteq I_{3} \subseteq I_{4} \subseteq \ldots $ of $R$, there exists an integer $k \in \mathbb{N}$ such …