阿廷环是抽象代数中一类满足降链条件的环，以其开创者埃米尔·阿廷命名。

一个环称作阿廷环，若且唯若对每个由的理想构成的降链，必存在，使得对所有的都有（换言之，此降链将会固定）。

将上述定义中的理想代换为左理想或右理想，可以类似地定义左阿廷环与右阿廷环，A是左（右）阿廷环若且唯若A在自己的左乘法下形成一个左（右）阿廷模；对于交换环则无须分别左右。

In abstract algebra, an Artinian ring is a ring that satisfies the descending chain condition on ideals. They are also called Artin rings and are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are finite-dimensional vector spaces over fields. The definition of Artinian rings may be restated by interchanging the descending chain condition with an equivalent notion: the minimum condition.