2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78297Let F be an infinite field. We prove that the right zero divisors of a three-dimensional associative F-algebra A must form the union of at most finitely many linear subspaces of A. The proof is elementary and written with students as the intended audience.Rings and AlgebrasCommutative Algebra16-01 (Primary) 13-01, 15-01 (Secondary)text