Ring $R_{ 40 }$

Right-not-left coherent ring


Let $s$ be a field endomorphism from a countably infinite field $k$ 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

Keywords triangular ring


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

  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right:
Krull dimension (classical) 0
Name Description
Idempotents $\{0,1\}$