David Buchsbaum
Encyclopedia
David Alvin Buchsbaum is a mathematician at Brandeis University
who works on commutative algebra, homological algebra, and representation theory. He proved the Auslander–Buchsbaum formula
and the Auslander–Buchsbaum theorem
.
Brandeis University
Brandeis University is an American private research university with a liberal arts focus. It is located in the southwestern corner of Waltham, Massachusetts, nine miles west of Boston. The University has an enrollment of approximately 3,200 undergraduate and 2,100 graduate students. In 2011, it...
who works on commutative algebra, homological algebra, and representation theory. He proved the Auslander–Buchsbaum formula
Auslander–Buchsbaum formula
In commutative algebra, the Auslander–Buchsbaum formula, introduced by , states that if R is a commutative Noetherian local ring and M is a finitely generated R-module of finite projective dimension, then...
and the Auslander–Buchsbaum theorem
Auslander–Buchsbaum theorem
In commutative algebra, the Auslander–Buchsbaum theorem states that regular local rings are unique factorization domains.The theorem was first proved by . They showed that regular local rings of dimension 3 are unique factorization domains, and had previously shown that this implies that all...
.