2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65736In this note, we give a new proof of the fact that an affine semiprime algebra R of Gelfand-Kirillov dimension 1 satisfies a polynomial identity. Our proof uses only the growth properties of the algebra and yields an explicit upper bound for the pi degree of R.5 pages; to appear in the Glasgow Mathematical JournalRings and Algebras16P90, 16R20text