# Ring detail

## Name: right-not-left coherent ring

Description: Let $s$ be a field endomorphism from $K$ to $K$ such that the image $L$ has infinite index in $K$. Define multiplication on $R=K\times K$ by $(x,y)(x',y')=(xx',s(x)y'+yx')$. $R$ is the ring

Krull dimension: 0

Keywords triangular ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 139