2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138027This short survey article reviews current understand- ing of the structure of noetherian Hopf algebras. The focus is on homological properties. A number of open problems are listed.11 pages;for conference at Antalya, Turkey in memory of Brian HartleyRings and AlgebrasQuantum Algebra16W30;16P40;16E65;17B37text