Ring detail


Name: Algebra of differential operators on the line (1st Weyl algebra)

This ring suggested by: jose.simental

Description: $k\langle x,y\rangle /(xy - yx - 1)$ where $k$ is a countably infinite field of characteristic $0$.

Keywords free algebra quotient ring

Reference(s):

  • (Citation needed)


  • Legend
    • = has the property
    • = does not have the property
    • = information not in database
    Name Measure
    cardinality $\aleph_0$
    composition length left: $\infty$right: $\infty$
    global dimension left: 1right: 1
    Name Description
    Idempotents $\{0,1\}$
    Jacobson radical $\{0\}$
    Nilpotents $\{0\}$
    Zero divisors $\{0\}$