Ring $R_{ 185 }$

McCoy ring that is not Abelian

Description:

$\mathbb Q\langle e, x, y, z \rangle/I$ where $I$ is generated by the relations that make $e^2=e$, $ex=x$, $xe=ey=ye=0$, $ez=ze=z$, and $x^2=y^2=z^2=xy=xz=yx=yz=zx=zy=0$.

Keywords free algebra quotient ring

Reference(s):

  • V. Camillo and P. P. Nielsen. McCoy rings and zero-divisors. (2008) @ Theorem 7.1 pp 608-609


Legend
  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
cardinality $\aleph_0$
Krull dimension (classical) 0

(Nothing was retrieved.)