2013 - Fellow of the American Mathematical Society
The scientist’s investigation covers issues in Algebra, Pure mathematics, Computational linguistics, Discrete mathematics and Simple. His work on Algebraic cycle, Algebraic number and Irreducible representation as part of general Algebra study is frequently connected to Homogeneous and Modal algebra, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Pure mathematics research incorporates themes from Class, Partially ordered set and Free lattice.
The Computational linguistics study combines topics in areas such as Mathematics education and Equivalence. His work on Equivalence relation and Binary relation as part of his general Discrete mathematics study is frequently connected to Non-Desarguesian plane, Desargues' theorem and Desargues configuration, thereby bridging the divide between different branches of science. His work carried out in the field of Simple brings together such families of science as Relation, Dual, Finite set and Lattice.
Bjarni Jónsson focuses on Pure mathematics, Algebra, Combinatorics, Discrete mathematics and Variety. He interconnects Class and Hexagonal lattice in the investigation of issues within Pure mathematics. His Algebra research integrates issues from Algebra over a field and Universal algebra.
His studies deal with areas such as Congruence lattice problem, Element, Lattice and Distributive property as well as Combinatorics. The various areas that Bjarni Jónsson examines in his Discrete mathematics study include Complemented lattice, Algebra representation and Arithmetic. His research investigates the connection between Variety and topics such as Free algebra that intersect with problems in Disjoint sets, Product, Rank and Zero.
His main research concerns Pure mathematics, Algebra, Relation algebra, Interior algebra and Boolean algebras canonically defined. The concepts of his Pure mathematics study are interwoven with issues in Class, Property and Variety. His study in the field of Amalgamation property is also linked to topics like Algebraic extension.
Bjarni Jónsson mostly deals with Simple in his studies of Algebra. In his research on the topic of Relation algebra, Free Boolean algebra and Complete Boolean algebra is strongly related with Stone's representation theorem for Boolean algebras. His study looks at the relationship between Discrete mathematics and topics such as Distributive property, which overlap with Combinatorics.
His primary areas of investigation include Computational linguistics, Publication, Mathematics education, Equivalence and Algebra. His work on Simple as part of general Algebra research is often related to Mathematical logic, thus linking different fields of science.
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Boolean Algebras with Operators. Part I
Bjarni Jonsson;Alfred Tarski.
American Journal of Mathematics (1951)
Refinements for infinite direct decompositions of algebraic systems.
Peter Crawley;Bjarni Jónsson.
Pacific Journal of Mathematics (1964)
Homogeneous Universal Relational Systems.
Mathematica Scandinavica (1960)
Universal relational systems
Mathematica Scandinavica (1956)
On the representation of lattices
Mathematica Scandinavica (1953)
Topics in universal algebra
Varieties of relation algebras
Algebra Universalis (1982)
Bounded distributive lattice expansions
Mai Gehrke;Bjarni Jónsson.
Mathematica Scandinavica (2004)
Representation of modular lattices and of relation algebras
Transactions of the American Mathematical Society (1959)
Modular lattices and Desargues' theorem
Mathematica Scandinavica (1954)
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