**David Alvin Buchsbaum** was an American algebraist, working mainly in commutative algebra and homological algebra. He was a student of Eilenberg with a Ph. D. thesis about Abelian categories.

- wikipedia: David Buchsbaum, Auslander-Buchsbaum theorem, Auslander-Buchsbaum formula
- mathematical obituary

Work with a notion close to the notion of Quillen exact category

- D. A. Buchsbaum,
*A note on homology in categories*, Ann. of Math. (2) 69 (1959) 66-74 MR140556

In a 1957 article with Maurice Auslander? they proved the Auslander-Buchsbaum formula on projective dimension of projective modules over commutative Noetherian local rings.

- Maurice Auslander?, David A. Buchsbaum,
*Homological dimension in local rings*, Trans. Amer. Math. Soc.**85**(2): 390–405 (1957) doi MR0086822

In a 1959 article with Buchsbaum they proved the Auslander-Buchsbaum theorem? that every commutative Noetherian regular local ring is a unique factorization domain.

- Maurice Auslander?, David A. Buchsbaum,
*Unique factorization in regular local rings,*Proc. Nat. Acad. Sci.**45**(5): 733-734 (1959) doi MR0103906

category: people

Last revised on July 10, 2023 at 09:24:30. See the history of this page for a list of all contributions to it.