Tsit Yuen Lam | Academic Influence

Tsit Yuen Lam's AcademicInfluence.com Rankings

Tsit Yuen Lam

Mathematics

#1452

World Rank

#2380

Historical Rank

#596

USA Rank

Measure Theory

#1155

World Rank

#1475

Historical Rank

#419

USA Rank

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Mathematics

Tsit Yuen Lam's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Tsit Yuen Lam Influential?

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According to Wikipedia, Tsit Yuen Lam is a Hong Kong-American mathematician specializing in algebra, especially ring theory and quadratic forms. Academic career Lam earned his bachelor's degree at the University of Hong Kong in 1963 and his Ph.D. at Columbia University in 1967 under Hyman Bass, with a thesis titled On Grothendieck Groups. Subsequently, he was an instructor at the University of Chicago and since 1968 he has been at the University of California, Berkeley, where he became assistant professor in 1969, associate professor in 1972, and full professor in 1976. He served as assistant department head several times. From 1995 to 1997 he was Deputy Director of the Mathematical Sciences Research Institute in Berkeley, California.

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Tsit Yuen Lam's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A first course in noncommutative rings (2002) (1919)
Lectures on modules and rings (1998) (845)
Introduction To Quadratic Forms Over Fields (2004) (800)
The algebraic theory of quadratic forms (1973) (637)
Serre's Problem on Projective Modules (2006) (284)
On Vanishing Sums of Roots of Unity (1995) (250)
Serre's Conjecture (1978) (193)
Orderings, valuations, and quadratic forms (1983) (178)
Extremal positive semidefinite forms (1977) (166)
Pfister forms and K-theory of fields (1972) (147)
Exercises In Classical Ring Theory (1994) (125)
Vandermonde and Wronskian matrices over division rings (1988) (123)
An introduction to real algebra (1984) (105)
Quadratic Forms Over Formally Real Fields and Pythagorean Fields (1972) (103)
A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE (2004) (90)
Real zeros of positive semidefinite forms. I (1980) (87)
Continuous modules are clean (2006) (87)
Quadratic forms under algebraic extensions (1976) (86)
Induction theorems for Grothendieck groups and Whitehead groups of finite groups (1968) (85)
Quadratic forms and theu-invariant. I (1973) (80)
On some Hasse Principles over formally real fields (1973) (78)
A computational theory of laurent polynomial rings and multidimensional fir systems (1999) (74)
On the Cyclotomic Polynomial Φpq (X) (1996) (72)
On the irreducibility of the generalized Laguerre polynomials (2002) (62)
Quasi-duo rings and stable range descent (2005) (60)
Biquaternion algebras and quartic extensions (1993) (58)
Orderings under field extensions. (1979) (57)
Witt Rings and Brauer Groups Under Multiquadratic Extensions, .1. (1983) (53)
Primeness, semiprimeness and prime radical of ore extensions (1997) (53)
Rings with unipotent units (2016) (53)
Wedderburn polynomials over division rings, I (2000) (52)
Rings with internal cancellation (2005) (51)
Exercises in Modules and Rings (2006) (49)
Artin exponent of finite groups (1968) (48)
Classification theorems for quadratic forms over fields (1974) (48)
Clean matrices and unit-regular matrices (2004) (45)
Quadratic forms and theu-invariant. II (1973) (44)
Hamilton's quaternions (2003) (44)
REPRESENTATIONS OF FINITE GROUPS : A HUNDRED YEARS, PART II (1998) (43)
PRIMENESS , SEMIPRIMENESS AND PRIME RADICAL OF ORE EXTENSIONS (2003) (42)
Sums of Squares in Some Integral Domains (1980) (38)
Algebraic Conjugacy Classes and Skew Polynomial Rings (1988) (36)
Multiplicative maps of matrix semi-groups (1969) (32)
HILBERT 90 THEOREMS OVER DIVISION RINGS (1994) (29)
A Prime Ideal Principle in commutative algebra (2008) (27)
On the linkage of quaternion algebras (2002) (27)
Quadratic forms under multiquadratic extensions (1980) (25)
A Theorem of Burnside on Matrix Rings (1998) (25)
K 0 and K 1 -An Introduction to Algebraic K-Theory (1975) (24)
Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture of snapper (1977) (23)
Discriminants of involutions on biquaternion algebras (1995) (23)
Euclidean pairs and quasi-Euclidean rings (2014) (22)
JACOBSON’S LEMMA FOR DRAZIN INVERSES (2013) (21)
Rings of Idempotent Stable Range One (2012) (21)
Fine rings: A new class of simple rings (2016) (21)
On the quaternion symbol homomorphism gF: k2F→B(F) (1973) (20)
Modules with Isomorphic Multiples and Rings with Isomorphic Matrix Rings. A Survey (1999) (19)
Relative Grothendieck groups (1969) (19)
Recent advances in real algebraic geometry and quadratic forms : proceedings of the RAGSQUAD year, Berkeley, 1990-1991 (1994) (18)
Rings of square stable range one (2011) (18)
SERIES SUMMATION OF STABLY FREE MODULES (1976) (17)
On the Clifford-Littlewood-Eckman groups: A new look at periodicity mod 8 (1989) (15)
Transversal zeros and positive semidefinite forms (1982) (15)
Determinantal Ideals, Pfaffian Ideals, and the Principal Minor Theorem (2007) (14)
Pfister ideals in Witt rings (1979) (14)
ON YUZVINSKY'S MONOMIAL PAIRINGS (1993) (13)
Representations of Finite Groups : A Hundred Years , Part II (1998) (13)
An ensemble of idempotent lifting hypotheses (2017) (12)
CORNER RING THEORY: A GENERALIZATION OF PEIRCE DECOMPOSITIONS, I (2006) (12)
Rings over which the transpose of every invertible matrix is invertible (2009) (12)
Exchange elements in rings, and the equation -= (2016) (11)
Invariant and semi-invariant polynomials in skew polynomial rings (1989) (11)
Unit regular elements in corner rings (2014) (11)
Relative Grothendieck rings (1969) (10)
Algebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthday (1999) (10)
Corner Ring Theory : A Generalization of Peirce Decompositions (2005) (10)
Reduction theorems for relative Grothendieck rings (1969) (10)
Ore extensions and V-domains (2009) (9)
Exchange Elements in Rings , and the Equation XA − (2016) (9)
Restriction maps on relative grothendieck rings (1970) (9)
Uniquely Clean Elements in Rings (2015) (9)
On uniform dimensions of ideals in right nonsingular rings (1998) (8)
SUMS OF UNITS IN RINGS (2014) (8)
Sums of 2m-th powers of rational functions in one variable over real closed fields (1996) (8)
Positive sextics and Schur's inequalities (1991) (8)
Bass's Work in Ring Theory and Projective Modules (2000) (7)
Recognition and computations of matrix rings (1996) (7)
Inner inverses and inner annihilators in rings (2014) (7)
Two-Sided Properties of Elements in Exchange Rings (2015) (7)
Finite generation of Grothendieck rings relative to cyclic subgroups. (1969) (6)
The reduced theory of quadratic forms (1983) (6)
Special clean elements in rings (2020) (6)
Generalized commutators in matrix rings (2012) (6)
On the number of solutions of $x^{p^{k}}=a$ in a $p$-group (1988) (6)
Classes of polynomials having only one non-cyclotomic irreducible factor (1999) (5)
On Subgroups of Prime Index (2004) (5)
A LIFTING THEOREM, AND RINGS WITH ISOMORPHIC MATRIX RINGS (1995) (5)
Determination of _{}(≥3) for global fields (1972) (4)
Finite groups embeddable in division rings (2000) (4)
An excision theorem for Grothendieck rings (1970) (4)
FINITE GROUPS EMBEDDABLE IN DIVISION RINGS (2001) (4)
Exchange rings, exchange equations, and lifting properties (2016) (3)
The category of noetherian modules. (1966) (3)
Pfister forms and $K$-theory of fields (1971) (3)
A theorem on Green's modular representation ring (1968) (3)
INVERTIBLE COMMUTATORS IN MATRIX RINGS (2011) (3)
Vanishing Sums ofmth Roots of Unity in Finite Fields (1996) (3)
Oka and Ako Ideal Families in Commutative Rings (2008) (2)
On the Diagonalization of Quadratic Forms (1999) (2)
On vanishing sums of $\,m\,$th roots of unity in finite fields (1996) (2)
A SHORT PROOF THAT CONTINUOUS MODULES ARE CLEAN (2012) (2)
A refinement of Green’s theorem on the defect group of a $P$-block (1976) (2)
Prime and Primitive Rings (1991) (2)
Pfister forms and their applications (1973) (2)
Symplectic Modules and von Neumann Regular Matrices over Commutative Rings (2010) (2)
Sums of Alternating Matrices and Invertible Matrices (2008) (1)
Jacobson pairs and Bott-Duffin decompositions in rings (2019) (1)
Local Rings, Semilocal Rings, and Idempotents (1991) (1)
A Commutator Formula for a Pair of Subgroups and A Theorem of Blackburn (1969) (1)
References for Chapter VIII (2006) (1)
Matrix Rings, Categories of Modules and Morita Theory (1999) (1)
Introduction to Division Rings (1995) (1)
Rings, Modules, Algebras (2002) (0)
Frobenius and Quasi-Frobenius Rings (2007) (0)
A ug 2 00 0 Contemporary Mathematics Wedderburn Polynomials over Division Rings (2008) (0)
SEMI-COMMUTATIVITY AND THE MCCOY CONDITION (2006) (0)
K 1 -Analogue of Serre’s Conjecture (2006) (0)
Thoughts on Eggert ’ s Conjecture (2014) (0)
DETERMINATION OF M«£*) FOR GLOBAL FIELDS1 (2010) (0)
Commutators and Anti-Commutators of Idempotents in Rings (2018) (0)
More Theory of Modules (1999) (0)
Perfect and Semiperfect Rings (1995) (0)
The real holomorphy ring and real-valued places (1983) (0)
More Rings of Quotients (1999) (0)
DETERMINATION OF M«£*) FOR GLOBAL FIELDS1 (2010) (0)
Stability index of preorderings (1983) (0)
The Representation Problem: solution for fans (1983) (0)
Real-valued places associated to a preordering (1983) (0)
REDUCTION THEOREMS FOR RELATIVE GROTHENDIECK RINGSC) (2010) (0)
of Quadratic Forms (1999) (0)
Review: Winfried Scharlau, Quadratic and Hermitian forms (1989) (0)
A REFINEMENT OF GREEN ' S THEOREM ON THE DEFECT GROUP (2010) (0)
Quaternion algebras and their norm forms (2004) (0)
FINITE GROUPS EMBEDDABLE IN DIVISION RINGS (2001) (0)
A quantum-trace determinantal formula for matrix commutators, and applications (2010) (0)
Two elementary proofs of serre’s conjecture (1978) (0)
FINITE GENERATION OF GROTHENDIECK RINGS RELATIVE TO CYCLIC SUBGROUPS1 (2010) (0)
Jacobson Radical Theory (1995) (0)
Rings of Quotients (2007) (0)
forms under a compatibile valuation (1983) (0)
The quadratic analogue of serre’s conjecture (2006) (0)
An isotropy principle (1983) (0)
The Representation Problem: reduction to fans (1983) (0)
FINITE GENERATION OF GROTHENDIECK RINGS RELATIVE TO CYCLIC SUBGROUPS1 (2010) (0)
FINITE GENERATION OF GROTHENDIECK RINGS RELATIVE TO CYCLIC SUBGROUPS1 (2010) (0)
Introduction to Witt rings (2004) (0)
The Brauer-Wall group (2004) (0)
Pfister forms and function fields (2004) (0)
Compatibility between valuations and -semiorderings (1983) (0)
The chain length of a preordering (1983) (0)
Ring theory and its applications : Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH (2014) (0)
Rings of Idempotent Stable Range One (2011) (0)
Flat Modules and Homological Dimensions (1999) (0)
New Developments (since 1977) (2006) (0)
Introduction to Representation Theory (1991) (0)
Introduction to Serre’s Conjecture: 1955–1976 (2006) (0)
Appendix: Complete Intersections and Serre’s Conjecture (2006) (0)
An introduction to q-central idempotents and q-abelian rings (2022) (0)
Special topics on invariants (2004) (0)
Ordered Structures in Rings (1991) (0)
Special topics in quadratic forms (2004) (0)
Pasch preorderings and their characterizations (1983) (0)
Wedderburn-Artin Theory (1995) (0)
FINITE GROUPS EMBEDDABLE IN DIVISION RINGS (2001) (0)
ON THE IRREDUCIBILITY OF THE GENERALIZED LAGUERREPOLYNOMIALS (2007) (0)
The valuation ring ^{} associated with a preordering (1983) (0)
References for Chapters I–VII (2006) (0)
DETERMINATION OF M«£*) FOR GLOBAL FIELDS1 (2010) (0)
Quadratic forms under transcendental extensions (2004) (0)
Introduction to fans (1983) (0)
Free Modules, Projective, and Injective Modules (2007) (0)
M ay 2 00 0 Finite Groups Embeddable in Division Rings (2000) (0)
A REFINEMENT OF GREEN'S THEOREM ON THE DEFECT GROUP OF A p -BLOCK (2010) (0)
Two-Sided Properties of Elements in Exchange Rings (2015) (0)
Formally real fields, real-closed fields, and Pythagorean fields (2004) (0)
The “Classical” Results on Serre’s Conjecture (2006) (0)
The Basic Calculus of Unimodular Rows (2006) (0)
Local fields and global fields (2004) (0)
A REFINEMENT OF GREEN'S THEOREM ON THE DEFECT GROUP OF A p -BLOCK (2010) (0)
A REFINEMENT OF GREEN ' S THEOREM ON THE DEFECT GROUP (2010) (0)
The Prüfer ring _{} associated with a preordering (1983) (0)

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