Depth of noncommutative subrings (source code)

= Depth of noncommutative subrings
{wiki=Depth_of_noncommutative_subrings}

In the context of noncommutative ring theory, the "depth" of a ring can be understood analogously to the depth of a module or a commutative ring. However, since you're asking about noncommutative subrings, it's important to clarify a few concepts. 1. **Depth in Commutative Rings**: In commutative algebra, the depth of a ring is defined in terms of the length of the longest regular sequence of its ideals.