Job title:

Professor Emeritus, Professor of the Graduate School

Research area:

Bio:

**Year appointed:**1967

**Year retired:**2009

**Selected Publications:**

- George M. Bergman (2023),
*An elementary result on infinite and finite direct sums of modules,*Journal of Algebra,**631**(2023) 731-737. [pdf] [MR] [arXiv] - George M. Bergman (2019),
*Some results relevant to embeddability of rings (especially group algebras) in division rings,*Journal of Algebra,**535**(2019) 503-540. [DOI] [pdf] [MR] [tex] [arXiv] - George M. Bergman (2015),
*An invitation to general algebra and universal constructions,*2nd edn, Springer Universitext, x+572 pp. ISBN 978-3-319-11477-4 [DOI] [pdf] [MR], [MR, 1st edn] [ZM] - George M. Bergman (2011).
*Homomorphic images of pro-nilpotent algebras.*Illinois J. Math.,**55**(2011) 719-748. [tex] [dvi] [ps] [pdf] [abstract] [arXiv] [MR] [projecteuclid] - George M. Bergman (2006).
*Generating infinite symmetric groups.*Bull. London Math. Soc.**38**429-440. [tex] [dvi] [ps] [doi] [update] [arXiv] [MR] - George M. Bergman and Adam O. Hausknecht (1996).
*Co-groups and co-rings in categories of associative rings.*Mathematical Surveys and Monographs, Vol. 45. American Mathematical Society Providence, RI x+388. [updates & errata] [MR] [ZM][ams_bookstore] - George M. Bergman (1983).
*Embedding rings in completed graded rings. IV. Commutative algebras.*J. Algebra**84**No.1, 62-106. [doi] [MR] [ZM] - George M. Bergman (1978).
*The diamond lemma for ring theory.*Adv. in Math.**29**No.2, 178-218. [doi] [errata & updates] [MR] [ZM] [Wikipedia] - George Bergman (1976).
*Rational relations and rational identities in division rings. II.*J. Algebra**43**No.1, 267-297. [doi] [MR] [ZM] - George M. Bergman (1974).
*Coproducts and some universal ring constructions.*Trans. Amer. Math. Soc.**200**33-88. [JSTOR] [erratum & updates] [MR] [ZM]

Research interests:

Associative rings, Universal algebra and category theory, Counterexamples