Ring $R_{ 134 }$

Nielsen's right UGP, not left UGP ring


The quotient of the free algebra $F_2\langle a, b, c\rangle/(a^2, b^2, ab, ba, ac, bc, ca-b, cb-a)$ where $F_2$ is the field of two elements.

Keywords free algebra quotient ring


  • P. Nielsen. Symmetry of unique generator property. (2022) @ MO post solution

  • = has the property
  • = does not have the property
  • = information not in database

(Nothing was retrieved.)

Name Description
Idempotents $\{0,1\}$
Jacobson radical $(a)=(a,b)$.