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

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

2011-02-14

arxiv.org/abs/1102.2697v1

Mathematics

Rings and Algebras

Scientific paper

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.

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