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researcher

G. Bergman

52 papers hereh-index 284.9k citations179 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author47
  • first author5

Across the 52 of 52 papers where every author was matched, so the position is known.

fields
  • math.RA23
  • math.GR13
  • math.CO5
  • math.AC3
  • math.CT3
  • math.MG2
same name
  • G. Bergman — 2 papers, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20032026
most citedGenerating infinite symmetric groups

52 citations · 217 across the 45 of their papers we have counts for

collaborators
Showing 2018Show all

3 papers · 1 filter

math.RA2018

Some results relevant to embeddability of rings (especially group algebras) in division rings

George M. Bergman

P. M. Cohn showed in 1971 that given a ring R, to describe, up to isomorphism, a division ring D generated by a homomorphic image of R is equivalent to specifying the set of…

math.RA2018

Completeness results for metrized rings and lattices

George M. Bergman

The Boolean ring B of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (e.g., {0}) that are closed under the natural metric, bu…

math.CO2018

Some results on counting linearizations of posets

George M. Bergman

In section 1 we consider a 3-tuple S=(∣S∣,≼,E) where ∣S∣ is a finite set, ≼ a partial ordering on ∣S∣, and E a set of unordered pairs of distinct me…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.