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- Benjamin Steinberg

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
32
Citations
3,717
263
World Ranking
2443
National Ranking
1030

- Algebra
- Combinatorics
- Pure mathematics

Benjamin Steinberg focuses on Semigroup, Discrete mathematics, Combinatorics, Algebra and Krohn–Rhodes theory. Semigroup is a subfield of Pure mathematics that he studies. His Pure mathematics study integrates concerns from other disciplines, such as Unit and Group.

The various areas that he examines in his Discrete mathematics study include Inverse and Prime. His work on Monoid and Partial permutation as part of general Combinatorics study is frequently connected to Joins, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His studies deal with areas such as Generalization and Line as well as Algebra.

- The q-theory of Finite Semigroups (186 citations)
- A groupoid approach to discrete inverse semigroup algebras (158 citations)
- Möbius functions and semigroup representation theory (99 citations)

His primary areas of investigation include Pure mathematics, Combinatorics, Monoid, Discrete mathematics and Semigroup. The Pure mathematics study combines topics in areas such as Semidirect product and Group. His studies in Combinatorics integrate themes in fields like Wreath product, Free group, Decidability and Free product.

His research in Monoid tackles topics such as Representation theory which are related to areas like Symmetric group and Group theory. His Discrete mathematics research incorporates elements of Simple, Automaton and Profinite group. Many of his studies involve connections with topics such as Algebra and Semigroup.

- Pure mathematics (50.52%)
- Combinatorics (31.49%)
- Monoid (28.03%)

- Pure mathematics (50.52%)
- Monoid (28.03%)
- Inverse semigroup (13.49%)

The scientist’s investigation covers issues in Pure mathematics, Monoid, Inverse semigroup, Semigroup and Field. His work carried out in the field of Pure mathematics brings together such families of science as Inverse, Path and Group. His Monoid study is concerned with the larger field of Combinatorics.

His Inverse semigroup research includes themes of Idempotence, Unit and Totally disconnected space. His Semigroup research integrates issues from Aperiodic graph, Lattice, Conjugacy class and Spectral theory. Benjamin Steinberg works mostly in the field of Field, limiting it down to topics relating to Simple and, in certain cases, Group action.

- Between primitive and 2-transitive: Synchronization and its friends (31 citations)
- Diagonal-preserving isomorphisms of étale groupoid algebras (22 citations)
- Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras (15 citations)

- Algebra
- Combinatorics
- Pure mathematics

Benjamin Steinberg spends much of his time researching Pure mathematics, Monoid, Inverse semigroup, Path and Algebra over a field. Semigroup and Groupoid algebra are among the areas of Pure mathematics where Benjamin Steinberg concentrates his study. Benjamin Steinberg studied Semigroup and Zero that intersect with Inverse.

His Monoid research is multidisciplinary, relying on both Current, Commutative ring, Type and Cohomological dimension. His Commutative ring research is multidisciplinary, incorporating elements of Measure, Representation theory, Combinatorics and Affine transformation. His biological study spans a wide range of topics, including Unit and Totally disconnected space.

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.

The q-theory of Finite Semigroups

John Rhodes;Benjamin Steinberg.

**(2009)**

374 Citations

A groupoid approach to discrete inverse semigroup algebras

Benjamin Steinberg.

Advances in Mathematics **(2010)**

179 Citations

Representation Theory of Finite Groups: An Introductory Approach

Benjamin Steinberg.

**(2011)**

111 Citations

On the Decidability of Iterated Semidirect Products with Applications to Complexity

Jorge Almeida;Benjamin Steinberg.

Proceedings of The London Mathematical Society **(2000)**

110 Citations

Möbius functions and semigroup representation theory II: Character formulas and multiplicities

Benjamin Steinberg.

Advances in Mathematics **(2008)**

104 Citations

Möbius functions and semigroup representation theory

Benjamin Steinberg.

Journal of Combinatorial Theory, Series A **(2006)**

104 Citations

Representation theory of finite semigroups, semigroup radicals and formal language theory

Jorge Almeida;Stuart Margolis;Benjamin Steinberg;Mikhail Volkov.

Transactions of the American Mathematical Society **(2008)**

94 Citations

ON A CLASS OF AUTOMATA GROUPS GENERALIZING LAMPLIGHTER GROUPS

Pedro V. Silva;Benjamin Steinberg.

International Journal of Algebra and Computation **(2005)**

85 Citations

Representation Theory of Finite Monoids

Benjamin Steinberg.

**(2016)**

81 Citations

On the irreducible representations of a finite semigroup

Olexandr Ganyushkin;Volodymyr Mazorchuk;Benjamin Steinberg.

Proceedings of the American Mathematical Society **(2009)**

75 Citations

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