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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 2016 · math.RAShow all

3 papers · 2 filters

math.RA2016★ 4 cited

Strong inner inverses in endomorphism rings of vector spaces

George M. Bergman

For V a vector space over a field, or more generally, over a division ring, it is well-known that every x∈End(V) has an <i>inner inverse</i>, i.e., an element $y\in\…

math.RA2016★ 1 cited

Tensor products of faithful modules

George M. Bergman

If k is a field, A and B k-algebras, M a faithful left A-module, and N a faithful left B-module, we recall the proof that the left A⊗k​B-module $M\otimes_k…

math.RA2016★ 2 cited

Simplicial complexes with lattice structures

George M. Bergman

If L is a finite lattice, we show that there is a natural topological lattice structure on the geometric realization of its order complex Δ(L) (definition recalled). Lattice-th…

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