Tsit Yuen Lam

What is he best known for?

The fields of study he is best known for:

• Algebra
• Pure mathematics
• Vector space

Tsit Yuen Lam mostly deals with Pure mathematics, Discrete mathematics, Combinatorics, Algebra and Course. Pure mathematics and Quadratic equation are commonly linked in his work. Tsit Yuen Lam interconnects Valuation ring and Group ring in the investigation of issues within Discrete mathematics.

The concepts of his Combinatorics study are interwoven with issues in Positive-definite matrix, Vandermonde matrix, Partition of sums of squares, Total sum of squares and Non-linear least squares. The various areas that Tsit Yuen Lam examines in his Quadratic form study include Isotropic quadratic form, Solving quadratic equations with continued fractions, Definite quadratic form, Real algebraic geometry and Pfister form. His Pfister form research includes themes of Quadratic field and ε-quadratic form.

His most cited work include:

• Lectures on modules and rings (1266 citations)
• A first course in noncommutative rings (878 citations)
• The algebraic theory of quadratic forms (762 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Pure mathematics, Algebra, Combinatorics, Discrete mathematics and Ring. Tsit Yuen Lam is involved in the study of Pure mathematics that focuses on Commutative algebra in particular. Tsit Yuen Lam has included themes like Biquaternion, Division algebra, Filtered algebra and Projective test in his Algebra study.

His Combinatorics study incorporates themes from Simple and Invertible matrix. His Discrete mathematics research includes elements of ε-quadratic form, Definite quadratic form and Quadratic field. His research investigates the connection between ε-quadratic form and topics such as Discriminant that intersect with problems in Isotropic quadratic form.

He most often published in these fields:

• Pure mathematics (65.85%)
• Algebra (25.20%)
• Combinatorics (19.51%)

What were the highlights of his more recent work (between 2007-2020)?

• Pure mathematics (65.85%)
• Ring (15.45%)
• Von Neumann regular ring (13.01%)

In recent papers he was focusing on the following fields of study:

His primary areas of investigation include Pure mathematics, Ring, Von Neumann regular ring, Matrix and Combinatorics. His Pure mathematics research is multidisciplinary, incorporating perspectives in Commutative ring and Algebra. His Ring research is multidisciplinary, incorporating elements of Endomorphism, Element, Unit and Abelian group.

His Von Neumann regular ring research is multidisciplinary, relying on both Discrete mathematics, Isomorphism, Homomorphism, Jacobson radical and Noncommutative ring. His study in Discrete mathematics is interdisciplinary in nature, drawing from both Noncommutative geometry, Left and right and Ring theory. His Noncommutative ring research integrates issues from Polynomial ring and Category of rings.

Between 2007 and 2020, his most popular works were:

• Exercises in Modules and Rings (30 citations)
• A Prime Ideal Principle in commutative algebra (23 citations)
• Euclidean pairs and quasi-Euclidean rings (18 citations)

In his most recent research, the most cited papers focused on:

• Algebra
• Pure mathematics
• Vector space

His scientific interests lie mostly in Pure mathematics, Von Neumann regular ring, Commutative algebra, Ring and Discrete mathematics. His studies deal with areas such as Prime element, Prime ideal, Semiprime ring and Algebra as well as Pure mathematics. His Von Neumann regular ring research incorporates elements of Invertible matrix, Combinatorics and Jacobson radical.

His Commutative algebra study integrates concerns from other disciplines, such as Matrix, Resolution, Injective function and Noncommutative ring. The Matrix study combines topics in areas such as Noncommutative geometry, Projective module, Morita equivalence, Ring theory and Left and right. His Ring research incorporates themes from Commutative property, Range, Transpose, Idempotence and Element.