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- Bjarni Jónsson

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
4,780
86
World Ranking
2217
National Ranking
947

2013 - Fellow of the American Mathematical Society

- Algebra
- Geometry
- Pure mathematics

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.

- Boolean Algebras with Operators. Part I (572 citations)
- Universal relational systems (133 citations)
- Refinements for infinite direct decompositions of algebraic systems. (133 citations)

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.

- Pure mathematics (36.36%)
- Algebra (29.55%)
- Combinatorics (29.55%)

- Pure mathematics (36.36%)
- Algebra (29.55%)
- Relation algebra (5.68%)

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.

- Bounded distributive lattice expansions (110 citations)
- On the canonicity of Sahlqvist identities (84 citations)
- Equivalence of Consequence Operations (56 citations)

- Algebra
- Geometry
- Pure mathematics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Boolean Algebras with Operators. Part I

Bjarni Jonsson;Alfred Tarski.

American Journal of Mathematics **(1951)**

944 Citations

Refinements for infinite direct decompositions of algebraic systems.

Peter Crawley;Bjarni Jónsson.

Pacific Journal of Mathematics **(1964)**

249 Citations

Homogeneous Universal Relational Systems.

B. Jonsson.

Mathematica Scandinavica **(1960)**

200 Citations

Universal relational systems

Bjarni Jónsson.

Mathematica Scandinavica **(1956)**

199 Citations

On the representation of lattices

Bjarni JÓnsson.

Mathematica Scandinavica **(1953)**

182 Citations

Topics in universal algebra

Bjarni Jónsson.

**(1972)**

165 Citations

Varieties of relation algebras

Bjarni Jónsson.

Algebra Universalis **(1982)**

159 Citations

Bounded distributive lattice expansions

Mai Gehrke;Bjarni Jónsson.

Mathematica Scandinavica **(2004)**

147 Citations

Representation of modular lattices and of relation algebras

Bjarni Jónsson.

Transactions of the American Mathematical Society **(1959)**

126 Citations

Modular lattices and Desargues' theorem

Bjarni Jónsson.

Mathematica Scandinavica **(1954)**

125 Citations

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