2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62815In formulating a generalized framework to study certain noncommutative algebras naturally arising in representation theory, K. A. Brown asked if every finitely generated Hopf algebra satisfying a polynomial identity was finite over a normal commutative Hopf subalgebra. In this note we show that Radford's biproduct, applied to the enveloping algebra of the Lie superalgebra pl(1,1), provides a noetherian prime counterexample.AMS-TeX; 8 Pages; no figuresQuantum AlgebraRings and Algebras16text