Bjarni Jónsson

Bjarni Jónsson (February 15, 1920 – September 30, 2016)[1] was an Icelandic mathematician and logician working in universal algebra, lattice theory, model theory and set theory. He was emeritus distinguished professor of mathematics at Vanderbilt University and the honorary editor in chief of Algebra Universalis. He received his PhD in 1946 at UC Berkeley under supervision of Alfred Tarski.[2][3]

For the artist, see Bjarni Jónsson (artist). For the Icelandic footballer, see Bjarni Jónsson (footballer).
This is an Icelandic name. The last name is patronymic, not a family name; this person is referred to by the given name Bjarni.
Bjarni Jónsson
Born(1920-02-15)February 15, 1920
Dragháls, Iceland
DiedSeptember 30, 2016(2016-09-30) (aged 96)
Cincinnati, Ohio, U.S.
NationalityIcelandic
Alma materUniversity of California, Berkeley
Known forJónsson's lemma, Jónsson algebras, ω-Jónsson functions, Jónsson cardinals, Jónsson terms, Jónsson–Tarski algebras, Jónsson–Tarski duality
Scientific career
FieldsMathematics, logic
InstitutionsBrown University
Vanderbilt University
University of Minnesota, Minneapolis
Doctoral advisorAlfred Tarski
Doctoral studentsPeter Fillmore
Frederick Galvin

In 2012, he became a fellow of the American Mathematical Society.[4]

Work

Jónsson's lemma as well as several mathematical objects are named after him, among them Jónsson algebras, ω-Jónsson functions, Jónsson cardinals, Jónsson terms, Jónsson–Tarski algebras and Jónsson–Tarski duality.

Publications
  • Jónsson, Bjarni (1972), Topics in universal algebra, Lecture Notes in Mathematics, vol. 250, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0058648, ISBN 978-3-540-05722-2, MR 0345895

References
  1. American Men & Women of Science - Volume 4. R.R. Bowker Company. Database Publishing Group. 2009. p. 148. ISBN 978-0787665272.
  2. Bjarni Jónsson at the Mathematics Genealogy Project
  3. Salisbury, David. "Noted algebraist Bjarni Jónsson dies". vanderbilt.edu. Retrieved 14 October 2016.
  4. List of Fellows of the American Mathematical Society, retrieved 2013-01-26.

Further reading
  • Kirby A. Baker, Bjarni Jónsson's contributions in algebra, Algebra Universalis, September 1994, Volume 31, Issue 3, pp. 306–336.
  • J. B. Nation, Jónsson's contributions to lattice theory, Algebra Universalis, September 1994, Volume 31, Issue 3, pp. 430–445.


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