nLab George Bergman

George M. Bergman is an algebraist at the University of California at Berkeley.

• personal page at Berkeley

• institute page

Selected writings

• partial bibliography

On diagram chasing and elements in an abelian category:

• George Bergman, A note on abelian categories – translating element-chasing proofs, and exact embedding in abelian groups (1974) [pdf, pdf]

On cogroups and corings internal to associative rings:

• George M. Bergman, Adam O. Hausknecht, Cogroups and co-rings in categories of associative rings, A.M.S. Math. Surveys and Monographs 45 (1996) [ISBN 0-8218-0495-2, ams:surv-45, MR 97k:16001, errata and updates]

Introducing the diamond lemma in ring theory:

• George M. Bergman, The diamond lemma for ring theory, Advances in Mathematics 29 2 (1978) 178-218 [doi:10.1016/0001-8708(78)90010-5]

Introducing the Salamander lemma:

• George Bergman, On diagram-chasing in double complexes, Theory and Applications of Categories 26 (2012) 60-96 [arXiv:1108.0958, tac:26-03, pdf]

Skewfield of noncommutative rational functions

• George M. Bergman, Skew fields of noncommutative rational functions, after Amitsur. In Séminaire Schützenberger–Lentin–Nivat, Année 1969/1970, No. 16. Paris 1970 EuDML

On Bergman's centralizer theorem,

• George M. Bergman, Centralizers in free associative algebras, Trans. Amer. Math. Soc. 137:327–344 (1969) doi

category: people