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Bjarni Jónsson (February 15, 1920 – September 30, 2016) was an Icelandic
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History ...
and
logician Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
working in
universal algebra Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study ...
,
lattice theory A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper boun ...
,
model theory In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the ...
and
set theory Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concer ...
. He was
emeritus ''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...
distinguished professor Distinguished Professor is an academic title given to some top tenured professors in a university, school, or department. Some distinguished professors may have endowed chairs. In the United States Often specific to one institution, titles such ...
of
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
at
Vanderbilt University Vanderbilt University (informally Vandy or VU) is a private research university in Nashville, Tennessee. Founded in 1873, it was named in honor of shipping and rail magnate Cornelius Vanderbilt, who provided the school its initial $1-million e ...
and the honorary editor in chief of '' Algebra Universalis''. He received his PhD in 1946 at
UC Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant univ ...
under supervision of
Alfred Tarski Alfred Tarski (, born Alfred Teitelbaum;School of Mathematics and Statistics, University of St Andrews ''School of Mathematics and Statistics, University of St Andrews''. January 14, 1901 – October 26, 1983) was a Polish-American logician a ...
. In 2012, he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings ...
.List of Fellows of the American Mathematical Society
retrieved 2013-01-26.


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

*


References


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.


External links


Bjarni Jónsson's homepage
1920 births Bjarni Jonsson Algebraists Lattice theorists 20th-century mathematicians University of California, Berkeley alumni Vanderbilt University faculty Fellows of the American Mathematical Society Bjarni Jonsson Tarski lecturers 2016 deaths {{Iceland-scientist-stub Brown University faculty Icelandic expatriates in the United States