# Ring detail

## Name: Local right-not-left Kasch ring

Description: Let $k$ be a countably infinite field. Let $S$ be the power series ring over $k$ in two noncommuting variables $x,y$. The ring is $R=S/(y^2,yx)$

Keywords power series ring quotient ring

Reference(s):

• T.-Y. Lam. Exercises in modules and rings. (2007) @ ex 3.18, p 211

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality $\mathfrak c$
composition length left: $\infty$right: $\infty$
Name Description
Idempotents $\{0,1\}$