On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2

Agata Smoktunowicz; Laurent Bartholdi

arxiv: 1102.2697 · v1 · pith:7TIHDCQVnew · submitted 2011-02-14 · 🧮 math.RA

On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2

Agata Smoktunowicz , Laurent Bartholdi This is my paper

classification 🧮 math.RA

keywords conjecturedimensiongelfand-kirillovgoodearljacobsonradicalalgebraalgebras

0 comments

read the original abstract

For an arbitrary countable field, we construct an associative algebra that is graded, generated by finitely many degree-1 elements, is Jacobson radical, is not nil, is prime, is not PI, and has Gelfand-Kirillov dimension two. This refutes a conjecture attributed to Goodearl.

This paper has not been read by Pith yet.

On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2

discussion (0)