Bjarni Jónsson

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 first name Bjarni.

Bjarni Jónsson
Born	(1920-02-15)February 15, 1920 Dragháls, Iceland
Died	September 30, 2016(2016-09-30) (aged 96) Cincinnati, Ohio, U.S.
Alma mater	University of California, Berkeley
Known for	Jónsson's lemma, Jónsson algebras, ω-Jónsson functions, Jónsson cardinals, Jónsson terms, Jónsson–Tarski algebras, Jónsson–Tarski duality
Scientific career
Fields	Mathematics, logic
Workplaces	Brown University Vanderbilt University University of Minnesota, Minneapolis
Doctoral advisor	Alfred Tarski
Doctoral students	Peter Fillmore Frederick Galvin

Bjarni Jónsson (February 15, 1920 – September 30, 2016) 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.

In 1974 he was an invited speaker at the International Congress of Mathematicians in Vancouver where he spoke on Congruence varieties.

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

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

• 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
• 1979: "Congruence varieties", pages 348 to 377 of Universal Algebra, second edition, by George Grätzer (appendix 3)

Further reading

• Kirby A. Baker (1994) "Bjarni Jónsson's contributions in algebra", Algebra Universalis 31(3}: 306–336.
• J. B. Nation (1994) "Jónsson's contributions to lattice theory", Algebra Universalis 31(3): 430–445.

External links

• Bjarni Jónsson's homepage